Question 1

Subtract.
-$$\frac { 10 } { 8 } - \frac { 10 } { 8 }$$

Accepted Answer

A)  $- \frac { 50 } { 8 }$ 
B)  $\frac { 50 } { 8 }$ 
C)  undefined 
D)  0 
A)  $- \frac { 50 } { 8 }$ 
B)  $\frac { 50 } { 8 }$ 
C)  undefined 
D)  0

Question 2

Translate the phrase to an algebraic expression.
-Three multiplied by x

Accepted Answer

A)  $3 + x$ 
B)  $3 x$ 
C)  $\frac { 3 } { x }$ 
D)  $3 - x$ 
A)  $3 + x$ 
B)  $3 x$ 
C)  $\frac { 3 } { x }$ 
D)  $3 - x$

Question 3

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-$$\text { (L) } m \text { as } 7 ( lm)$$

Accepted Answer

(L) @#LAT-DLM& Using the commu

Question 4

Add. Do not use a number line except as a check.
--71 + 34

Accepted Answer

A) -105 
B) -37 
C) 105 
D) 37 
A) -105 
B) -37 
C) 105 
D) 37

Question 5

Evaluate -(-x) for the given value of x.
-x = -32.40

Accepted Answer

A) 32.4 
B) 0.03 
C) -32.40 
D) -0.03 
A) 32.4 
B) 0.03 
C) -32.40 
D) -0.03

Question 6

Collect like terms.
-8.4a + 9.9b - 5.7a - 7.3b

Accepted Answer

A) 2.7a + 2.6b 
B) 14.1a + 17.2b 
C) 2.7a + 17.2b 
D) -2.7a + 2.6b 
A) 2.7a + 2.6b 
B) 14.1a + 17.2b 
C) 2.7a + 17.2b 
D) -2.7a + 2.6b

Question 7

Subtract.
--14.3 - 0

Accepted Answer

A) 14.3 
B) 0 
C) undefined 
D) -14.3 
A) 14.3 
B) 0 
C) undefined 
D) -14.3

Question 8

State the real number that corresponds to the situation.
-On a cloudy day, the water temperature in the swimming pool drops 2 degrees.

Accepted Answer

A) -2 
B) 2 
A) -2 
B) 2

Question 9

Find the absolute value.
--0.006

Accepted Answer

A) 0.006 
B) 0.012 
C) 0 
D) -0.006 
A) 0.006 
B) 0.012 
C) 0 
D) -0.006

Question 10

Find an equivalent expression with the given denominator.
-$$\frac { 3 } { 7 y } = \frac { ? } { 7 y ^ { 2 } }$$

Accepted Answer

A)  $\frac { 3 y ^ { 2 } } { 7 y ^ { 2 } }$ 
B)  $\frac { 3 y } { 7 y ^ { 2 } }$ 
C)  $\frac { y } { 7 y ^ { 2 } }$ 
D)  $\frac { 21 y } { 7 y ^ { 2 } }$ 
A)  $\frac { 3 y ^ { 2 } } { 7 y ^ { 2 } }$ 
B)  $\frac { 3 y } { 7 y ^ { 2 } }$ 
C)  $\frac { y } { 7 y ^ { 2 } }$ 
D)  $\frac { 21 y } { 7 y ^ { 2 } }$

Question 11

Factor. Check by multiplying.
-42a + 7b

Accepted Answer

A) 42(a + b) 
B) 7(6a + b) 
C) 7(6a + 7b) 
D) 6(7a + 7b) 
A) 42(a + b) 
B) 7(6a + b) 
C) 7(6a + 7b) 
D) 6(7a + 7b)

Question 12

Substitute to find the value of the expression.
-The area of a triangle with base $b$ and height $h$ is given by the formula $A = \frac { 1 } { 2 } b h$. Find the area of a triangle when the base is $5.3$ centimeters and the height is $7.2$ centimeters.

Accepted Answer

A)  $0.37 \mathrm {~cm} ^ { 2 }$ 
B)  $15.264 \mathrm {~cm} ^ { 2 }$ 
C)  $38.16 \mathrm {~cm} ^ { 2 }$ 
D)  $19.08 \mathrm {~cm} ^ { 2 }$ 
A)  $0.37 \mathrm {~cm} ^ { 2 }$ 
B)  $15.264 \mathrm {~cm} ^ { 2 }$ 
C)  $38.16 \mathrm {~cm} ^ { 2 }$ 
D)  $19.08 \mathrm {~cm} ^ { 2 }$

Question 13

Evaluate -(-x) for the given value of x.
-$$x = 161$$

Accepted Answer

A)  $\frac { 1 } { 161 }$ 
B)  161 
C)  0 
D)  $- 161$ 
A)  $\frac { 1 } { 161 }$ 
B)  161 
C)  0 
D)  $- 161$

Question 14

Provide an appropriate response.
-Choose the expression that is equivalent to the following: 18x + 3y

Accepted Answer

A) 3(6x + 3y) 
B) 3(15x + y) 
C) 3(6x + y) 
D) 21xy 
A) 3(6x + 3y) 
B) 3(15x + y) 
C) 3(6x + y) 
D) 21xy

Subtract. - $\frac { 10 } { 8 } - \frac { 10 } { 8 }$

Translate the phrase to an algebraic expression. -Three multiplied by x

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. - $\text { (L) } m \text { as } 7 ( lm)$

Add. Do not use a number line except as a check. --71 + 34

Evaluate -(-x) for the given value of x. -x = -32.40

Collect like terms. -8.4a + 9.9b - 5.7a - 7.3b

Subtract. --14.3 - 0

State the real number that corresponds to the situation. -On a cloudy day, the water temperature in the swimming pool drops 2 degrees.

Find the absolute value. --0.006

Find an equivalent expression with the given denominator. - $\frac { 3 } { 7 y } = \frac { ? } { 7 y ^ { 2 } }$

Factor. Check by multiplying. -42a + 7b

Substitute to find the value of the expression. -The area of a triangle with base $b$ and height $h$ is given by the formula $A = \frac { 1 } { 2 } b h$ . Find the area of a triangle when the base is $5.3$ centimeters and the height is $7.2$ centimeters.

Evaluate -(-x) for the given value of x. - $x = 161$

Provide an appropriate response. -Choose the expression that is equivalent to the following: 18x + 3y

Solving Equations and Inequalities

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Exam 1: Introduction to Real Numbers and Algebraic Expressions

Subtract. - 108−108\frac { 10 } { 8 } - \frac { 10 } { 8 }810​−810​