AnswersMathematics ILinear Equations and Inequalities

Practice Test Answers

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What interval includes all possible values of x , where negative 3 times open paren 6 minus 2 x close paren is greater than or equal to 4 x plus 12 ?

A
left parenthesis negative infinity comma 15 right bracket
B
left bracket negative 3 comma infinity right parenthesis
C
left parenthesis negative infinity comma negative 3 right bracket
D
left bracket 15 comma infinity right parenthesis
2
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At a pumpkin patch, if Armando guesses the weight of his pumpkin within 0 point 3 pounds, he gets to take the pumpkin home for free. If his pumpkin weighs 4 point 9 pounds, which two equations can be used to find the minimum and maximum weights he can guess in order to get his pumpkin for free?

A
x plus 4 point 9 is equal to 0 point 3 and x plus 4 point 9 is equal to negative 0 point 3
B
x minus 0 point 3 is equal to 4 point 9 and x minus 0 point 3 is equal to negative 4 point 9
C
x minus 4 point 9 is equal to 0 point 3 and x minus 4 point 9 is equal to negative 0 point 3
D
x plus 0 point 3 is equal to 4 point 9 and x plus 0 point 3 is equal to negative 4 point 9
4

The solution is n is equal to negative 2 verified as a solution to the equation 1 point 4 n plus 2 is equal to 2 n plus 3 point 2 What is the last line of the justification?

A
negative 3 is equal to negative 3
B
0 point 8 is equal to 0 point 8
C
negative 0 point 8 is equal to negative 0 point 8
D
3 is equal to 3
6

What is the solution to negative 4 times open paren 8 minus 3 x close paren is greater than or equal to 6 x minus 8 ?

A
x is less than or equal to 4
B
x is less than or equal to negative 4 thirds
C
x is greater than or equal to 4
D
x is greater than or equal to negative 4 thirds
7

Ahmed has five more CDs than one-half the number of CDs Julia has. In this situation, what does 1 half c plus 5 represent?

A
the number of CDs Ahmed has
B
the number of CDs Ahmed and Julia have altogether
C
the number of CDs Julia has
D
the number of CDs Ahmed has more than Julia
11

Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”?

A
6 plus 2 times open paren x plus 4 close paren is equal to 1 half times open paren x minus 3 close paren
B
6 plus 2 times open paren x plus 4 close paren is equal to 1 half times open paren 3 minus x close paren
C
open paren 6 plus 2 close paren times open paren x plus 4 close paren is equal to 1 half times open paren 3 minus x close paren
D
open paren 6 plus 2 close paren times open paren x plus 4 close paren is equal to 1 half times open paren x minus 3 close paren
12

Consider the equation 5 thirds v plus 4 plus 1 third v is equal to 8 What is the resulting equation after the first step in the solution?

A
4 thirds v plus 4 is equal to 8
B
2 v plus 4 is equal to 8
C
4 plus v is equal to 8 minus 5 thirds v
D
5 thirds v plus 4 is equal to 8 minus 1 third v
13

Hiroshi spends 30 minutes on history homework, 60 minutes on English homework, and x minutes on math homework. One fourth of his total homework time is spent on math. Which equation can be used to find the amount of time Hiroshi spends on his math homework?

A
1 fourth times x is equal to open paren 30 plus 60 close paren
B
1 fourth x open paren 30 plus 60 close paren is equal to x
C
1 fourth times open paren x plus 30 plus 60 close paren is equal to x
D
1 fourth times x is equal to x times open paren 30 plus 60 close paren
14

Use properties to rewrite the given equation. Which equations have the same solution as 2 point 3 p minus 10 point 1 is equal to 6 point 5 p minus 4 minus 0 point 0 1 p ? Choose two correct answers.

A
230 p minus 1010 is equal to 650 p minus 400 minus p
B
2 point 3 p minus 10 point 1 is equal to 6 point 4 p minus 4
C
2 point 3 p minus 10 point 1 is equal to 6 point 4 9 p minus 4
D
23 p minus 101 is equal to 65 p minus 40 minus p
E
2 point 3 p minus 14 point 1 is equal to 6 point 4 p minus 4

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