Practice Test

Which of the given ordered pairs are solutions to the equation 3 x − y = 6 ? 3 x − y = 6 ?

ⓐ ( 3 , 3 ) ( 3 , 3 ) ⓑ ( 2 , 0 ) ( 2 , 0 ) ⓒ ( 4 , −6 ) ( 4 , −6 )

Find the slope of each line shown.

Find the slope of the line between the points ( 5 , 2 ) ( 5 , 2 ) and ( −1 , −4 ) . ( −1 , −4 ) .

Graph the line with slope 1 2 1 2 containing the point ( −3 , −4 ) . ( −3 , −4 ) .

Find the intercepts of 4 x + 2 y = −8 4 x + 2 y = −8 and graph.

Graph the line for each of the following equations.

y = 5 3 x − 1 y = 5 3 x − 1

Find the equation of each line. Write the equation in slope-intercept form.

slope − 3 4 − 3 4 and y y -intercept ( 0 , −2 ) ( 0 , −2 )

m = 2 , m = 2 , point ( −3 , −1 ) ( −3 , −1 )

containing ( 10 , 1 ) ( 10 , 1 ) and ( 6 , −1 ) ( 6 , −1 )

perpendicular to the line y = 5 4 x + 2 , y = 5 4 x + 2 , containing the point ( −10 , 3 ) ( −10 , 3 )

Write the inequality shown by the graph with the boundary line y = − x − 3 . y = − x − 3 .

Graph each linear inequality.

y > 3 2 x + 5 y > 3 2 x + 5

x − y ≥ −4 x − y ≥ −4

Hiro works two part time jobs in order to earn enough money to meet her obligations of at least $450 a week. Her job at the mall pays $10 an hour and her administrative assistant job on campus pays $15 an hour. How many hours does Hiro need to work at each job to earn at least $450?

ⓐ Let x be the number of hours she works at the mall and let y be the number of hours she works as administrative assistant. Write an inequality that would model this situation.
ⓑ Graph the inequality .
ⓒ Find three ordered pairs ( x , y ) ( x , y ) that would be solutions to the inequality. Then explain what that means for Hiro.

Use the set of ordered pairs to ⓐ determine whether the relation is a function, ⓑ find the domain of the relation, and ⓒ find the range of the relation.

Evaluate the function: ⓐ f ( −1 ) f ( −1 ) ⓑ f ( 2 ) f ( 2 ) ⓒ f ( c ) . f ( c ) .

f ( x ) = 4 x 2 − 2 x − 3 f ( x ) = 4 x 2 − 2 x − 3

For h ( y ) = 3 | y − 1 | − 3 , h ( y ) = 3 | y − 1 | − 3 , evaluate h ( −4 ) . h ( −4 ) .

Determine whether the graph is the graph of a function. Explain your answer.

In the following exercises, ⓐ graph each function ⓑ state its domain and range.
Write the domain and range in interval notation.

f ( x ) = x 2 + 1 f ( x ) = x 2 + 1

f ( x ) = x + 1 f ( x ) = x + 1

ⓑ Find the y y -intercepts.
ⓒ Find f ( −1 ) . f ( −1 ) .
ⓓ Find f ( 1 ) . f ( 1 ) .
ⓔ Find the domain. Write it in interval notation.
ⓕ Find the range. Write it in interval notation.

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