Interim Assessment Review Practice
Class Lesson Material • Guided Instruction & Practice Interim Assessment 1 Review
Type 1: Rational Equations with Binomials
Standard: A-REI.B.3
Student:
Date:
Period:
Teacher Model Solve for \(t\): \(\frac{t+8}{t-4} = 7\)
I DO
Choose the correct value of \(t\):
A) \(2\) B) \(4\) C) \(6\) D) \(\frac{18}{5}\)
Practice 1 Solve for \(x\): \(\frac{x+5}{x-3} = 5\)
YOU DO
Choose the correct value of \(x\):
A) \(3\) B) \(4\) C) \(5\) D) \(\frac{17}{4}\)
Practice 2 Solve for \(w\): \(\frac{2w+3}{w-5} = 4\)
YOU DO
Choose the correct value of \(w\):
A) \(9\) B) \(11.5\) C) \(13\) D) \(\frac{23}{2}\)
Algebra I Interim Assessment 1 Review Question Type 2 of 16
Type 2: Identifying Linear Equations from Graphs
Standard: F-IF.C.7a
Teacher Model Which is an equation of line \(l\) graphed in the \(xy\)-plane below?
I DO
x y l
A) \(y = x\)
B) \(y = 2x\)
C) \(y = x + 2\)
D) \(y = 2x + 1\)
Practice 1 Which is an equation of line \(k\) graphed in the \(xy\)-plane below?
YOU DO
x y k
A) \(y = x\)
B) \(y = -x\)
C) \(y = -x + 1\)
D) \(x = -1\)
Practice 2 Which is an equation of line \(p\) graphed in the \(xy\)-plane below?
YOU DO
x y p
A) \(y = x - 1\)
B) \(y = 2x - 1\)
C) \(y = 2x + 1\)
D) \(y = \frac{1}{2}x - 1\)
Algebra I Interim Assessment 1 Review Question Type 3 of 16
Type 3: Modeling Real-World Linear Expressions
Standard: A-CED.A.1
Teacher Model I DO
A math tutor charges $25 an hour for tutoring 2 siblings, plus a flat $10 materials fee per session. If the tutor works with both siblings together, what expression represents the total amount earned for a session lasting \(x\) hours?
A) \(25x + 10\), where \(x\) is hours
B) \(10x + 25\), where \(x\) is hours
C) \(x(25 + 2) + 10\), where \(x\) is siblings
D) \(25(x + 10)\), where \(x\) is siblings
Practice 1 YOU DO
A dog walker charges $12 per hour to walk 3 dogs together, and adds a one-time $4 treat fee per walk. What expression could be used to determine the total earnings for walking the dogs for \(h\) hours?
A) \(4h + 12\), where \(h\) is hours
B) \(12h + 4\), where \(h\) is hours
C) \(h(12 + 3) + 4\), where \(h\) is dogs
D) \(12(h + 3) + 4\), where \(h\) is hours
Practice 2 YOU DO
A landscaper charges $35 per hour for a 2-person crew and an additional $15 equipment usage charge. Which expression models the total charge for a job requiring \(t\) hours of work?
A) \(35(t + 15)\), where \(t\) is hours
B) \(15t + 35\), where \(t\) is hours
C) \(35t + 15\), where \(t\) is hours
D) \(t(35 + 2) + 15\), where \(t\) is workers
Algebra I Interim Assessment 1 Review Question Type 4 of 16
Type 4: Slope and Similar Right Triangles
Standard: 8.EE.B.6 / F-LE.A.1
Teacher Model Line \(t\) and \(\triangle ECA\) and \(\triangle FDB\) are shown on the plane
I DO
A E C B F D
Which statement is true regarding the slope of line \(t\)?
A) The slope is equal to \(\frac{EC}{AE}\)
B) The slope is equal to \(\frac{AE}{EC}\)
C) The slope is equal to \(\frac{FB}{FD}\)
D) The slope is equal to \(\frac{FD}{EC}\)
Practice 1 Right triangles \(\triangle RTS\) and \(\triangle WVU\) along line \(m\)
YOU DO
On the coordinate plane, line \(m\) passes through the hypotenuses of right triangles \(\triangle RTS\) and \(\triangle WVU\). In \(\triangle RTS\), segment \(RS\) is horizontal and segment \(ST\) is vertical. Which ratio correctly represents the slope of line \(m\)?
A) \(\frac{RS}{ST}\)
B) \(\frac{ST}{RS}\)
C) \(\frac{RT}{RS}\)
D) \(\frac{ST}{RT}\)
Practice 2 Comparing ratios of similar slope triangles
YOU DO
Two right slope triangles are drawn on line \(k\). Triangle 1 has vertical leg \(v_1\) and horizontal leg \(h_1\). Triangle 2 has vertical leg \(v_2\) and horizontal leg \(h_2\). Which equation must be true?
A) \(\frac{v_1}{h_1} = \frac{v_2}{h_2}\)
B) \(\frac{v_1}{v_2} = \frac{h_2}{h_1}\)
C) \(v_1 \cdot h_1 = v_2 \cdot h_2\)
D) \(\frac{h_1}{v_1} = \frac{v_2}{h_2}\)
Algebra I Interim Assessment 1 Review Question Type 5 of 16
Type 5: Order of Operations with Powers and Fractions
Standard: 6.EE.A.1 / A-SSE.A.1
Teacher Model Evaluate the expression: \(\frac{3^2 \div 3 \cdot 4^2}{6 + 3^2}\)
I DO
Select best answer:
A) \(3.2\) B) \(4\) C) \(16\) D) \(48\)
Practice 1 Evaluate the expression: \(\frac{6^2 \div 3 \cdot 2^3}{12 + 2^2}\)
YOU DO
Select best answer:
A) \(4\) B) \(6\) C) \(8\) D) \(12\)
Practice 2 Evaluate the expression: \(\frac{2^4 \div 2 \cdot 3^2}{3 + 3^2}\)
YOU DO
Select best answer:
A) \(4\) B) \(6\) C) \(9\) D) \(18\)
Algebra I Interim Assessment 1 Review Question Type 6 of 16
Type 6: Distributing and Combining Multi-Variable Terms
Standard: A-SSE.A.2
Teacher Model Which is equivalent to: \(3(2x - 3xy - 4y) - (x + 4xy - 8y)\)?
I DO
A) \(5x - 13xy - 4y\)
B) \(5x - 5xy - 20y\)
C) \(5x - 13xy + 4y\)
D) \(-12xy\)
Practice 1 Which is equivalent to: \(2(3a - 2ab - 5b) - (2a + 4ab - 7b)\)?
YOU DO
A) \(4a - 8ab - 3b\)
B) \(4a - 8ab - 17b\)
C) \(4a + 2ab - 3b\)
D) \(4a - 6ab + 3b\)
Practice 2 Which is equivalent to: \(4(p - 2pq - q) - 2(p - 3pq + 2q)\)?
YOU DO
A) \(2p - 2pq - 8q\)
B) \(2p - 14pq\)
C) \(6p - 2pq - 8q\)
D) \(2p + 2pq - 8q\)
Algebra I Interim Assessment 1 Review Question Type 7 of 16
Type 7: Multi-Step Equations with Distribution
Standard: A-REI.B.3
Teacher Model If \(2x - 5 = 4(1 - x)\), then what is the value of \(x\)?
I DO
Select decimal value:
A) \(0.75\) B) \(1.25\) C) \(1.50\) D) \(2.25\)
Practice 1 If \(x - 4 = 2(5 - x)\), then what is the value of \(x\)?
YOU DO
Select decimal value:
A) \(2.33\) B) \(3.50\) C) \(4.67\) D) \(5.33\)
Practice 2 If \(3x + 1 = 2(7 - x)\), then what is the value of \(x\)?
YOU DO
Select decimal value:
A) \(1.80\) B) \(2.60\) C) \(3.00\) D) \(3.25\)
Algebra I Interim Assessment 1 Review Question Type 8 of 16
Type 8: Comparing Rates on Distance-Time Graphs
Standard: F-IF.B.6
Teacher Model I DO
Carter Diaz Time (hours) Distance (mi)
Carter traveled 200 miles in 5 hours. Diaz traveled 200 miles in ~3.2 hours. Which statement is true based on their trips?
A) Carter traveled faster than Diaz.
B) Carter traveled at an average speed of 40 mph.
C) Diaz traveled at 40 miles per hour.
D) Carter will eventually surpass Diaz.
Practice 1 YOU DO
Cyclist A rode 45 miles in 3 hours. Cyclist B rode 45 miles in 2.25 hours. Both started at the same time. Which statement is true based on their rides?
A) Cyclist A averaged 15 mph.
B) Cyclist A was faster than Cyclist B.
C) Cyclist B averaged 15 mph.
D) Cyclist A will catch Cyclist B.
Practice 2 YOU DO
Train X traveled 300 miles over 5 hours. Train Y traveled 300 miles over 4 hours. Which statement is correct regarding their average speeds?
A) Train X averaged 75 mph.
B) Train Y averaged 60 mph.
C) Train X averaged 60 mph.
D) Train X had a greater average speed.
Algebra I Interim Assessment 1 Review Question Type 9 of 16
Type 9: Graphs of Horizontal & Vertical Lines
Standard: F-IF.C.7a
Teacher Model Which of the following could represent the graph of the equation \(x = -3\)?
I DO
A)
B)
C)
D)
Practice 1 Which represents the graph of the equation \(y = 2\)?
YOU DO
A) A horizontal line passing through \((0, 2)\)
B) A vertical line passing through \((2, 0)\)
C) A line passing through \((0,0)\) with slope 2
D) A horizontal line passing through \((0, -2)\)
Practice 2 Which equation represents a vertical line through \((4, -5)\)?
YOU DO
A) \(y = -5\)
B) \(x = 4\)
C) \(y = 4x - 5\)
D) \(x = -5\)
Algebra I Interim Assessment 1 Review Question Type 10 of 16
Type 10: Equation of a Line Passing Through Two Points
Standard: A-CED.A.2 / F-LE.A.2
Teacher Model What is the equation of the line that passes through \((-4, 1)\) and \((2, -2)\)?
I DO
A) \(y = -\frac{1}{2}x - 1\)
B) \(y = -\frac{1}{2}x + 1\)
C) \(y = -2x - 7\)
D) \(y = \frac{1}{2}x + 3\)
Practice 1 What is the equation of the line that passes through \((-2, -3)\) and \((4, 9)\)?
YOU DO
A) \(y = 2x + 1\)
B) \(y = 2x - 7\)
C) \(y = \frac{1}{2}x - 2\)
D) \(y = -2x + 1\)
Practice 2 What is the equation of the line that passes through \((-5, -2)\) and \((-1, -8)\)?
YOU DO
A) \(y = -\frac{3}{2}x + \frac{11}{2}\)
B) \(y = -\frac{3}{2}x - \frac{19}{2}\)
C) \(y = \frac{5}{3}x + \frac{19}{3}\)
D) \(y = \frac{3}{2}x + \frac{11}{2}\)
Algebra I Interim Assessment 1 Review Question Type 11 of 16
Type 11: Interpreting the y-Intercept in Context
Standard: F-IF.B.4 / S-ID.C.7
Teacher Model I DO
The equation \(H = 42 + 15x\) models the height, \(H\), in inches, of a shade tree \(x\) years after it was planted in a park. If this relationship is graphed in the \(xy\)-plane, what is indicated by the \(y\)-intercept?
A) The height, in inches, of the tree when it was planted
B) The age, in years, of the tree when planted
C) The number of inches the tree grows each year
D) The total number of years the tree will live
Practice 1 YOU DO
The equation \(C = 65 + 30m\) models the total cost, \(C\), in dollars for a gym membership after \(m\) months. What is indicated by the \(y\)-intercept of the graph?
A) The monthly membership fee charged each month
B) The initial registration fee paid when joining
C) The maximum number of months allowed
D) The total cost for an entire year of membership
Practice 2 YOU DO
The equation \(V = 500 - 45t\) models the remaining volume, \(V\), in gallons of water in a pool \(t\) hours after draining begins. What is indicated by the \(y\)-intercept?
A) The amount of water drained each hour
B) The total time required to drain the pool
C) The initial volume of water in the pool before draining
D) The rate at which water is leaving the pool
Algebra I Interim Assessment 1 Review Question Type 12 of 16
Type 12: Equations with Parentheses and Fractions
Standard: A-REI.B.3
Teacher Model What value of \(x\) is the solution of the equation: \(\frac{1}{2}(18 - 6x) = 2 - \frac{4}{3}x\)?
I DO
\(x = \)
Practice 1 What value of \(x\) is the solution of the equation: \(\frac{1}{3}(12 - 6x) = 1 - \frac{1}{2}x\)?
YOU DO
\(x = \)
Practice 2 What value of \(x\) is the solution of the equation: \(\frac{1}{2}(16 - 2x) = 5 - \frac{1}{4}x\)?
YOU DO
\(x = \)
Algebra I Interim Assessment 1 Review Question Type 13 of 16
Type 13: Two-Step Equations with Variable Quotients
Standard: A-REI.B.3
Teacher Model For what value of \(h\) does \(24 = \frac{h}{10} - 6\)?
I DO
\(h = \)
Practice 1 For what value of \(k\) does \(18 = \frac{k}{6} - 7\)?
YOU DO
\(k = \)
Practice 2 For what value of \(m\) does \(35 = \frac{m}{4} + 12\)?
YOU DO
\(m = \)
Algebra I Interim Assessment 1 Review Question Type 14 of 16
Type 14: Equations with Subtracted Binomials
Standard: A-REI.B.3
Teacher Model What is the value of \(a\) if \((2a + 3) - (4a - 8) = 7\)?
I DO
\(a = \)
Practice 1 What is the value of \(y\) if \((3y + 5) - (5y - 7) = 16\)?
YOU DO
\(y = \)
Practice 2 What is the value of \(b\) if \((4b + 2) - (7b - 9) = 20\)?
YOU DO
\(b = \)
Algebra I Interim Assessment 1 Review Question Type 15 of 16
Type 15: Setting Up and Solving Linear Word Problems
Standard: A-CED.A.1
Teacher Model I DO
Juliene practiced her dance routine for twice as many minutes on Monday as she did on Tuesday. She practiced her routine those two days for a total of 2 hours and 15 minutes. For how many minutes did Juliene practice her dance routine on Monday?
minutes
Practice 1 YOU DO
Marcus read for three times as many minutes on Saturday as he did on Sunday. Over the entire weekend, he read for a total of 2 hours. For how many minutes did Marcus read on Saturday?
minutes
Practice 2 YOU DO
Maya worked out for twice as many minutes on Thursday as on Friday. She exercised across both days for a total of 1 hour and 45 minutes. For how many minutes did Maya work out on Thursday?
minutes
Algebra I Interim Assessment 1 Review Question Type 16 of 16
Type 16: Multi-Part Rate and Direct Variation Modeling
Standard: A-CED.A.2 / F-IF.B.4
Teacher Model Bakery Bread Model
I DO
A bakery makes loaves of artisan bread based on flour supply. \(y\) represents loaves of bread and \(x\) represents flour in cups. For every 0.5 cups of flour, the bakery produces 2 loaves.
Part A: Explain the meaning of the coordinate pair \((5, 20)\) in context.
Part B: Based on the prompt, write an equation to represent the scenario.
Equation:
Part C: An apprentice says that 6 cups of flour will yield 1.5 loaves. Are they right or wrong? Explain how you know.
Practice 1 Grandma's Cookie Model
YOU DO
Grandma makes cookies based on how much sugar she has. \(y\) represents cookies made and \(x\) represents sugar in cups. For every 0.5 cups of sugar, Grandma makes 4 cookies.
Part A: Explain the meaning of the coordinate pair \((4, 32)\) in context.
Part B: Based on the prompt, write an equation to represent the scenario.
Equation:
Part C: Johnny says that 7 cups of sugar will make 3.5 cookies. Is Johnny right or wrong? Explain how you know.
Practice 2 Juice Bar Smoothie Model
YOU DO
A smoothie shop blends bowls using fresh berries. \(y\) represents bowls blended and \(x\) represents berries in pints. For every 0.5 pints of berries, they blend 3 bowls.
Part A: Explain the meaning of the coordinate pair \((4, 24)\) in context.
Part B: Based on the prompt, write an equation to represent the scenario.
Equation:
Part C: A customer claims that 8 pints of berries makes only 4 bowls. Are they right or wrong? Explain how you know.
