Unit 7: Expressions, Equations, and Exponents
END-OF-UNIT ASSESSMENT
Name: _________________
Date: __________ Period: ___
Teacher: ________________
1. Which of the following quantities is best represented by the expression 3t + 2?
A
The total height of a stack of 5 books, where 3 books have a height in centimeters of t.
B
The total height of a stack of t books, each of height 3 cm, sitting on a 2-cm high step.
C
The height of a stack of 3 books, each of height t.
D
The height of a stack of t books, each of height 3 cm.
2. A plant grows 4 centimeters in height per week.
Write an expression for the height of the plant after w weeks.
3. Write an expression for the total cost of x 55-cent stamps and y 39-cent stamps.
4. Evaluate the expression –4 + 5p for the given value of p.
a. p = –2
b. p = 0
c. p = 0.2
5. Say whether the two expressions given are equivalent or not. If not, write an expression
that is equivalent to the first expression.
a. (3w + 2)4 and 3w + 8
c.
1
n
(n + 6) and + 6
2
2
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b. 5t – t and (5 – 1)t
d. –2(6 – x) and 2x – 12
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End-of-Unit Assessment
6. Simplify this expression. ( a –2b 2 )( a 3b –1 ) –
1
( a 2 b )3
2 2
(
)
+ a
a 5b 2
7. Use the figure below in parts a–c.
a. Write two equivalent expressions to represent the area
of the shaded region.
x+1
8
4
x+4
b. Use either of your expressions from part a to write an equation that states that the area
of the shaded region is 60 square feet. Then use the properties of equality and other
number properties to solve for x.
c. Use either of your expressions from part a to write an equation that states that the area
of the shaded region is 100 square feet. Then use the properties of equality and other
number properties to solve for x.
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End-of-Unit Assessment: Page 2 of 4
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Choice, Inc.
End-of-Unit Assessment
8. a. Use the Pythagorean theorem to find the length of the hypotenuse of the right
triangle below.
12 m
9m
b. Use the Pythagorean theorem to determine whether or not the following set of values
could be the side lengths of right triangles: (3, 5, 6). Explain why or why not.
9. Use the properties of equality and other number properties to isolate the variable and
solve each equation. When applying a property of equality, state what quantity you are
adding to each side or multiplying each side by.
a. 5x = 10
b. 5x + 3 = 13
c. 0.5(x + 3) = 2.5
d. 5(x + 3) – 2(x – 1) = 23
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Choice, Inc.
End-of-Unit Assessment: Page 3 of 4
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End-of-Unit Assessment
10. Show that (2, 5) and (–1, –1) are both solutions to each equation.
a. y = 2x + 1
b. 5y = 10x + 5
c. y = 7(x + 3) – 5(x + 4)
11. Use the properties of equality and other number properties to solve the equation.
Justify each step with a number property or operation.
7(x + 3) – 5(x + 4) = –1
12. a. Represent the values of t that make the inequality t + 2 < 24 true on a number line.
b. What is the greatest whole number value of t for which the inequality t + 2 < 24 is true?
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End-of-Unit Assessment: Page 4 of 4
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