4 3 2 16 - = q q - AWS
Name __________________________________________________________ Date _______
Midterm Review Packet (Ch 1, 4, 6 & 7)
Solve the equation. Check your solution, if possible. (Chapter 1 Equations) 1. 42 7 x
3.
43q 2 16q
2.
4 2 w 12 w 3 3
4. t 3t 7 4t 7
Solve the equation for y. Hint! Get y by itself! (Chapter 1 Equations)
5. 8 3 x 6 y
6. 1.5 x 3 y 6
7.The formula for profit is P R C. a. Solve the formula for R. b. Use the new formula to find the value of R given that
P $350 and C $520.
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Big Ideas Math Blue Assessment Book
7
Find the value of x. Then find the angle measures of the polygon. (Chapter 1 Equations) 8.
9. There are 24 more students in the seventh-grade class than the number g in the
eighth-grade class. The seventh-grade class has 160 students. Write and solve an equation to find the number of students in the eighth-grade class.
10. You rent a canoe for $5 per hour. Your cost before the tax is added is $12.50.
Write and solve an equation to find the number of hours that you rented the canoe.
Draw a mapping diagram of the set of ordered pairs. (Chapter 6 Functions) 11. (0, 4), (1, 6), (2, 8), (3, 1), (4,0)
8
Big Ideas Math Blue Assessment Book
Copyright © Big Ideas Learning, LLC All rights reserved.
12.Write a function rule for the statement, “The output is 4 less than the input.” Then
complete the table. 1
Input, x
2
3
4
Output, y
Find the value of y for the given value of x. (Chapter 6 Functions) 13.
𝑦 = 4𝑥 x = -7
14. 𝑦 = 𝑥 − 5 x=9
Use the graph or table to write a linear function that relates y to x. (Chapter 6 Functions) 15.
.
Does the equation represent a linear or nonlinear function? (Chapter 6 Functions) 16. y = 2𝑥2 + 4
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17. 𝑦 + 6 = 2𝑥 + 4𝑦
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9
Solve for y. Put the equation in slope intercept form. (Chapter 4 Writing Linear Equations) 18. 2 x – 3 y 3
Find the slope of the line. (Chapter 4 Writing Linear Equations)
19.
20.
21. Which two lines are parallel? Explain.
Find the slope and the y-intercept of the graph of the linear equation. (Chapter 4
Writing Linear Equations) 22. y 3x – 6
10
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3 4
23. y 5 x
24. y
7 1 x –3 9 3
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Write in slope-intercept form an equation of the line that passes through the given points. (Chapter 4 Writing Linear Equations) 25.
0, 1, 2, 4
26. 3, 1, 0, 4
27.
3, 7, 2, 3
28. 2, 8, 2, 10
Find the square root(s). (Chapter 7 Real Numbers) 29.
169
30.
10,000
31.
16 81
Find the cube root. (Chapter 7 Real Numbers)
32.
3
3
1,000,000
33.
27 729
Evaluate the expression. (Chapter 7 Real Numbers) Copyright © Big Ideas Learning, LLC All rights reserved.
Big Ideas Math Blue 11 Assessment Book
34. 3
0.0225
35.
0.25
33
36. 6 1331 42 3
37.
0.64
2
1 1 2 64 2
Find the missing length of the triangle. (Chapter 7 Real Numbers) 38. 39.
Classify the real number. (Chapter 7 Real Numbers) 40. 1
5 7
41.
3
42.
1 8
Estimate the square root to the nearest (a) integer and (b) tenth. (Chapter 7 Real Numbers) 43.
12
46
Big Ideas Math Blue Assessment Book
44.
190
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Write the decimal as a fraction or a mixed number. (Chapter 7 Real Numbers) 45. 0.37
46. 7.18
Find the distance between the two points. (Chapter 7 Real Numbers) 47.
10, 9, 10, 12
48.
10, 4, 14, 6
Tell whether the triangle with the given side lengths is a right triangle. (Chapter 7 Real Numbers) 49. 8 ft, 15 ft, 17 ft
50.
14 km, 48 km, 50 km
51. The diagonal of a square is 2 inches. Find the area of the square.
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Find the x-intercept and the y-intercept. Graph the linear equation. (Chapter 4 Writing
Linear Equations) 52. 2 x 4 y 12
53.You borrow $90 from your grandmother. You pay back $15 each week. a. Write an equation in standard form that represents the amount
owed y after x weeks.
b. Find the y-intercept of the graph. What does this represent?
c. Find the x-intercept of the graph. What does this represent?
14
Big Ideas Math Blue Assessment Book
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54.The graph shows the height y (in feet) of a kite x seconds after you start letting out
the string. a. Find and interpret the slope of the graph.
b. Write an equation of the line of the graph.
c. What is the height of the kite after 15 seconds?
d. Interpret the y-intercept of the graph.
55. A toy marble run has ramps and turnaround points. Each ramp is 41
centimeters long. The turnaround is 2 centimeters wide and flat, and the entire toy is 42 centimeters wide, as shown. a. How tall is the toy?
b. You add one more ramp to the toy. How tall is it now?
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Big Ideas Math Blue 15 Assessment Book
Midterm Review Packet (Ch 1, 4, 6 & 7)
Solve the equation. Check your solution, if possible. (Chapter 1 Equations) 1. 42 7 x
3.
43q 2 16q
2.
4 2 w 12 w 3 3
4. t 3t 7 4t 7
Solve the equation for y. Hint! Get y by itself! (Chapter 1 Equations)
5. 8 3 x 6 y
6. 1.5 x 3 y 6
7.The formula for profit is P R C. a. Solve the formula for R. b. Use the new formula to find the value of R given that
P $350 and C $520.
Copyright © Big Ideas Learning, LLC All rights reserved.
Big Ideas Math Blue Assessment Book
7
Find the value of x. Then find the angle measures of the polygon. (Chapter 1 Equations) 8.
9. There are 24 more students in the seventh-grade class than the number g in the
eighth-grade class. The seventh-grade class has 160 students. Write and solve an equation to find the number of students in the eighth-grade class.
10. You rent a canoe for $5 per hour. Your cost before the tax is added is $12.50.
Write and solve an equation to find the number of hours that you rented the canoe.
Draw a mapping diagram of the set of ordered pairs. (Chapter 6 Functions) 11. (0, 4), (1, 6), (2, 8), (3, 1), (4,0)
8
Big Ideas Math Blue Assessment Book
Copyright © Big Ideas Learning, LLC All rights reserved.
12.Write a function rule for the statement, “The output is 4 less than the input.” Then
complete the table. 1
Input, x
2
3
4
Output, y
Find the value of y for the given value of x. (Chapter 6 Functions) 13.
𝑦 = 4𝑥 x = -7
14. 𝑦 = 𝑥 − 5 x=9
Use the graph or table to write a linear function that relates y to x. (Chapter 6 Functions) 15.
.
Does the equation represent a linear or nonlinear function? (Chapter 6 Functions) 16. y = 2𝑥2 + 4
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17. 𝑦 + 6 = 2𝑥 + 4𝑦
Big Ideas Math Blue Assessment Book
9
Solve for y. Put the equation in slope intercept form. (Chapter 4 Writing Linear Equations) 18. 2 x – 3 y 3
Find the slope of the line. (Chapter 4 Writing Linear Equations)
19.
20.
21. Which two lines are parallel? Explain.
Find the slope and the y-intercept of the graph of the linear equation. (Chapter 4
Writing Linear Equations) 22. y 3x – 6
10
Big Ideas Math Blue Assessment Book
3 4
23. y 5 x
24. y
7 1 x –3 9 3
Copyright © Big Ideas Learning, LLC All rights reserved.
Write in slope-intercept form an equation of the line that passes through the given points. (Chapter 4 Writing Linear Equations) 25.
0, 1, 2, 4
26. 3, 1, 0, 4
27.
3, 7, 2, 3
28. 2, 8, 2, 10
Find the square root(s). (Chapter 7 Real Numbers) 29.
169
30.
10,000
31.
16 81
Find the cube root. (Chapter 7 Real Numbers)
32.
3
3
1,000,000
33.
27 729
Evaluate the expression. (Chapter 7 Real Numbers) Copyright © Big Ideas Learning, LLC All rights reserved.
Big Ideas Math Blue 11 Assessment Book
34. 3
0.0225
35.
0.25
33
36. 6 1331 42 3
37.
0.64
2
1 1 2 64 2
Find the missing length of the triangle. (Chapter 7 Real Numbers) 38. 39.
Classify the real number. (Chapter 7 Real Numbers) 40. 1
5 7
41.
3
42.
1 8
Estimate the square root to the nearest (a) integer and (b) tenth. (Chapter 7 Real Numbers) 43.
12
46
Big Ideas Math Blue Assessment Book
44.
190
Copyright © Big Ideas Learning, LLC All rights reserved.
Write the decimal as a fraction or a mixed number. (Chapter 7 Real Numbers) 45. 0.37
46. 7.18
Find the distance between the two points. (Chapter 7 Real Numbers) 47.
10, 9, 10, 12
48.
10, 4, 14, 6
Tell whether the triangle with the given side lengths is a right triangle. (Chapter 7 Real Numbers) 49. 8 ft, 15 ft, 17 ft
50.
14 km, 48 km, 50 km
51. The diagonal of a square is 2 inches. Find the area of the square.
Copyright © Big Ideas Learning, LLC All rights reserved.
Big Ideas Math Blue 13 Assessment Book
Find the x-intercept and the y-intercept. Graph the linear equation. (Chapter 4 Writing
Linear Equations) 52. 2 x 4 y 12
53.You borrow $90 from your grandmother. You pay back $15 each week. a. Write an equation in standard form that represents the amount
owed y after x weeks.
b. Find the y-intercept of the graph. What does this represent?
c. Find the x-intercept of the graph. What does this represent?
14
Big Ideas Math Blue Assessment Book
Copyright © Big Ideas Learning, LLC All rights reserved.
54.The graph shows the height y (in feet) of a kite x seconds after you start letting out
the string. a. Find and interpret the slope of the graph.
b. Write an equation of the line of the graph.
c. What is the height of the kite after 15 seconds?
d. Interpret the y-intercept of the graph.
55. A toy marble run has ramps and turnaround points. Each ramp is 41
centimeters long. The turnaround is 2 centimeters wide and flat, and the entire toy is 42 centimeters wide, as shown. a. How tall is the toy?
b. You add one more ramp to the toy. How tall is it now?
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Big Ideas Math Blue 15 Assessment Book
