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Math098 Review (4.1 - 4.3) Print Full Name:
Show all relevant work.
Use the indicated property to provide a new expression equal to the given expression.
1) (5x + 2) + 8; associative law
2) (9 ∙ 5) ∙ 2; associative law
Simplify.
3)
1 (35a)
5
4) 7x - 5 - 3x + 9
5) -
1
2
s- 2t+ s+ 3t
7
3
3
5
6) 8(7 - 6y)
7) (5x + 10)7
8) -8(x + 9)
9)
1 (12x - 8)
4
10) -
3
(12x + 6)
2
11) - (-4m + 6n - 7p)
12) 12x - 4(6y - 8)
Translate the English phrase to a mathematical expression. Let x represent the number.
13) 7 times the difference of the number and 2
14) -4 times the difference of twice the number and 9
Name the law illustrated.
15) 9 ∙ 3 = 3 ∙ 9
16) 5(8 + p) = (8 + p)5
17) 2(x + 8) = 2x + 2 ∙ 8
Simplify.
18) 5a - 8b + 7 - 3b + 6a + 3
19) -(-7m + 5n - 6)
20) - 2 (z - 13) - 1 z
7
14
21) (11z + 9) - (5z - 1)
22) -4(7x + 3y) + 6(2x + 7y)
23)
1
3
(15x + 10) (10x - 9)
5
10
24)
1 1x- 1 + 1 1x- 1
8
9
2 2
3 4
Let x represent the number. Write the English phrase as an algebraic expression. Then simplify the expression, if
possible.
25) Twice the number, minus 6 times the difference of the number and 9
26) Five times the sum of a number and -12.
Simplify the right-hand side of the equation. Then graph the equation by hand. Use a graphing calculator to verify
your work.
27) y = 4x + 2x
y
10
8
6
4
2
-10 -8
-6
-4
-2
2
4
6
8
10 x
-2
-4
-6
-8
-10
Determine if the given value is a solution to the equation. Answer Yes or No.
28) 4x - 2 = -3x - 37; x = -5
Solve.
29) -8x = -64
30)
2
2
x=5
3
31) -
1
x = -2
3
32) -
1
a=0
19
33)
n = 13
4
34)
4
2
d=7
9
35) -z = -10
36) -4.56 = 2.28v
Solve the problem.
37) Use the graph of y = - 1 x + 4, that is provided, to solve the equation - 1 x + 4 = 2.
2
2
y
8
6
4
2
-8
-6
-4
-2
2
4
6
8 x
-2
-4
-6
-8
38) Solve the equation 3x - 2 = -11 by referring to the solutions of y = 3x - 2 shown in the table.
x
y
-3
-11
-2
-8
-1
-5
0
-2
1
1
2
4
3
7
Answer Key
Testname: 98_REVIEW_4.1-4
1) 5x + (2 + 8)
2) 9 ∙ (5 ∙ 2)
3) 7a
4) 4x + 4
11
5)
s- 1 t
21
15
6) 56 - 48y
7) 35x + 70
8) -8x - 72
9) 3x - 2
10) -18x - 9
11) 4m - 6n + 7p
12) 12x - 24y + 32
13) 7(x - 2)
14) -4(2x - 9)
15) commutative law for multiplication
16) commutative law for multiplication
17) distributive law
18) 11a - 11b + 10
19) 7m - 5n + 6
5 + 26
20) z
14
7
21) 6z + 10
22) -16x + 30y
47
23)
10
24)
1 x - 43
432
3
25) 2x - 6(x - 9); -4x + 54
26) 5(x + (-12)); 5x - 60
27)
y
10
8
6
4
2
-10 -8
-6
-4
-2
2
-2
-4
-6
-8
-10
28) Yes
29) 8
5
30) 3
31) 6
4
6
8
10 x
Answer Key
Testname: 98_REVIEW_4.1-4
32) 0
33) 52
34) -
7
18
35) 10
36) -2
37) 4
38) x = -3