AnswersMathematics ILinear Equations and Inequalities

Linear Equations and Inequalities — Test Answers

25 verified answers
1
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Which is an equivalent equation solved for y ?

A
y is equal to a pi x y
B
y is equal to a plus pi x
C
y is equal to a divided by pi x
D
y is equal to a minus pi x
2
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What is the missing step of her solution?

A
Simplify by combining like terms.
B
Simplify by using the division property of equality.
C
Simplify by using the multiplication property of equality.
D
Simplify by using the addition property of equality.
3

What is the final step in solving the inequality negative 2 times open paren 5 minus 4 x close paren is less than 6 x minus 4 ?

A
x is less than negative 3
B
x is greater than 3
C
x is less than 3
D
x is greater than negative 3
7

Johan found that the equation negative 2 start absolute value 8 minus x end absolute value minus 6 is equal to negative 12 had two possible solutions: x is equal to 5 and x is equal to negative 11 Which explains whether his solutions are correct?

A
He is not correct because there is only one solution: x is equal to 5 .
B
He is not correct because there are no solutions.
C
He is not correct because he made a sign error.
D
He is correct because both solutions satisfy the equation.
10

Solve the inequality. 2 times open paren 4 x minus 3 is greater than or equal to negative 3 times open paren 3 x close paren plus 5 x

A
x is greater than or equal to 2
B
x is greater than or equal to 0 point 5
C
left parenthesis negative infinity comma 0 point 5 right bracket
D
left parenthesis negative infinity comma 2 right bracket
14

What is the solution to the linear equation? 6 k plus 10 point 5 is equal to 3 k plus 12

A
k is equal to 9
B
k is equal to 0 point 5
C
k is equal to 2
D
k is equal to 7 point 3
16

Solve the equation. negative 9 x plus 1 is equal to negative x plus 17

A
x is equal to negative 2
B
x is equal to 2
C
x is equal to negative 8
D
x is equal to 8
17

What is a correct first step in solving the inequality negative 4 times open paren 3 minus 5 x close paren is greater than or equal to negative 6 x plus 9 ?

A
negative 12 plus 20 x is less than or equal to negative 6 x plus 9
B
negative 12 minus 20 x is greater than or equal to negative 6 x plus 9
C
negative 12 minus 20 x is less than or equal to negative 6 x plus 9
D
negative 12 plus 20 x is greater than or equal to negative 6 x plus 9
20

The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation start absolute value x minus 72 point 5 end absolute value is equal to 4 What are the minimum and maximum temperatures in the house?

A
70 point 5 degrees Fahrenheit F and 74 point 5 degrees Fahrenheit F
B
72 point 5 degrees Fahrenheit F and 76 point 5 degrees Fahrenheit F
C
72 point 5 degrees Fahrenheit F and 74 point 5 degrees Fahrenheit F
D
68 point 5 degrees Fahrenheit F and 76 point 5 degrees Fahrenheit F

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