Ch. 2.1-2.4 Mid-Chapter Review

Name __________________________________________________________________ Hour __________
Ch. 2.1-2.4 Mid-Chapter Review
Identify the property.
SCORE: PS 1 _____________
__________________________________ 1. 1 + (2 + 3) = (1 + 2) +3
inverse property
__________________________________ 2. 1 + 2 + 3 = 2 + 3 + 1
distributive property
__________________________________ 3. 4(x + 3) = 4x + 12
associative property
1
__________________________________ 4. 3 • 3 = 1
identity property
__________________________________ 5. 5 + 0 = 5
commutative property
Match the following vocabulary word with its definition or example.
__________________________________ 6. 3x and 4x, 2x2 and 5x2, 6 and 8
__________________________________ 7.
3
2
2
coefficient
1
and 3 , 4 and 4
like terms
__________________________________ 8. The x in the equation 3x + 4 = 10
reciprocals
__________________________________ 9. The 3 in the equation 3x + 4 = 10
variable
__________________________________ 10. The 4 in the equation 3x + 4 = 10
constant
Translate the following sentences into an equation.
SCORE: PS 2 _____________
_____ 11. A number x subtracted from 36 is three times the sum of four and x.
a.
x – 36 = 3 • 4 + x
b. x – 36 = 3(4 + x)
b.
36 – x = 3• 4 + x
c. 36 – x = 3(4 + x)
_____ 12. The product of five and a number y is two less than the quotient of four and y.
4
a. 5 + y = 𝑦 – 2
4
c. 5y = 2 - 𝑦
4
b. 5y = 𝑦 - 2
4
d. 5 + y = 2 - 𝑦
_____ 13. Translate the following equation into a verbal sentence 3x – y = 5(y + 2x)
a.
b.
c.
d.
Three times the difference of x and y equals five times the sum of y and two times x.
Three times x less than y is five times y plus two times x.
The sum of three times x and y is five times y plus two times x.
Three times x minus y is five times the sum of y and two times x.
Solve the following equations. Show the process (your steps) used to solve the problem for full credit!
14. m – 13 = 8
15. 5w = -75
17. 5x + 3 = 23
18.
20. 4(3 + 3n) = 12 + 8n
21. 18 – 4k = -10 – 4k
𝑛
– 8 = -2
3
Problem Solving
3
16. - 8y = -24
19.
𝑐−5
4
=3
22. -4y + 5 = 5 – 4y
SCORE: PS 6 _____________
23. Solve the following equation. Explain each step as you solve the problem. Justify your solution.
6x + 9 = 27
Solve and explain
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Justify
24. Describe the error the student made in solving the equation below. Correct the error.
6(n - 1) = 4n + 8
6n - 6 = 4n + 8
-6 = 2n + 8
-14 = 2n
-7 = n
DESCRIBE THE ERROR.
CORRECT THE ERROR.
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25. The Cell Plus Cellular Phone store offers a plan that will cost $39.99 a month and $0.25 for each minute
over the given minutes in the plan. Raul has budgeted $125 per month. Write an equation for this
situation to determine how many minutes over the given plan, Raul can use and stay within his budget.
Let _________ = ____________________
Solution: ________________________________
Equation: __________ = __________________