Expressions & Equations Unit Review
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Transcript of Expressions & Equations Unit Review
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Expressions & Equations Unit Review
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Warm UpYou want to have your birthday party at the local
Sports Museum. Below is a cost grid:Time (hours) Cost (dollars)
2 35
4 70
5 87.50
7 122.50
8 140
Write an equation for the cost, c, related to the given time, t.
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Warm Up
Simplify: 1. y+y+y+y2. 2x(2x + x)3. 3x2 + 5x + 6x2 – 2x – x
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Question #1
€
62 −23Simplify
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Answer #1
28
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Question #2
Simplify
€
4 + 3• 2 + 42
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Answer #2
26
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Question #3
Translate the following sentence into an algebraic expression.
Five less than the product of 2 and a number
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Answer #3
€
2n −5
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Question #4
Simplify
€
4m + 3c −2m +5c
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Answer #4
€
8c +2m
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Question #5
Which expression below has 3 terms, a coefficient of 5, and a constant of 2 ?
A:
B:
C: €
5c +2
€
2c + 4m +5€
5c + 4m +2
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Answer #5
B
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Question #6
Simplify
€
4x(x + 3)
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Answer #6
€
4x 2 +12x
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Question #7
What is the relationship between x and y in the chart below?
x y2 43 65 107 14
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Answer #7
As x increases, y increases or y=2x
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Question #8
Rachael has $120 in her checking account and some amount of money in her savings account. She has more than $328 in both accounts. Write an inequality to model this scenario.
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Answer #8
€
120 + x > 328
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Question #9
Paula ordered some new ink cartridges for her printer online. Each ink cartridge cost $22. The website charged her $5 shipping.
• If Paula spent $71, how many ink cartridges did she buy?
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Answer #9
3 Ink Cartridges
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Question #10
Solve the following for x.
€
3(x +5) = 27
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Answer #10
€
x = 4
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Question #11
Simplify
€
3(x +2) +12x +15
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Answer #11
€
15x +21
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Question #12
Simplify
x = 3 and y = 4
€
5x +2x − 3x + 4y +5y −2y
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Answer #12
40
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Question #13
Translate the sentence into an algebraic expression:
Five times the quantity x plus 14
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Answer 13
€
5(x +14)
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Question #14
Factor using greatest common factor
€
6x 2 +2x
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Answer #14
€
2x(3x +1)
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Question #15
Graph the inequality on a number line
x < 8
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Answer #15
The graph should have a closed circle at 8 and be
pointing to the left€
x ≤ 8
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Question #16
Translate the sentence.
Three less than the quotient of x and 5 is equal to 9.
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Answer #16
€
x5− 3 = 9
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Question #17
Ms. Willging teaches some number of students. Ms. Capurso teaches 12 less students than Ms. Willging. If there are 252 students in the sixth
grade, determine how many students each teacher has.
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Answer #17
Willging: 132 students
Capurso: 120 students
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Question #18
Write the inequality that matches this graph:
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Answer #18
€
x ≥ 3
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Question #19
List all of the values that make this inequality true:
a.) 3 c.) 4
b.) 2d.) 0€
5x −2 <13
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Answer #19
B and D
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Question #20
Determine the value of y:
€
y3−2 =10
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Answer #20
y = 36