Free Printable Linear Functions REview

1.

The line y = 4 is...

a)

Horizontal

b)

Vertical

2.

The line x = -3 is...

a)

Horizontal

b)

Vertical

3.

What is the y-intercept?

a)

-1/5

b)

(8, 0)

c)

(0, 8)

d)

(0, -1/5)

4.

Write an equation of the line in slope-intercept form:

a)

$y=\frac{3}{2}x-3$

b)

$y=6x+3$

c)

$y=\frac{3}{2}x+3$

d)

$y=4x-3$

5.

Write an equation for the line that passes through the given points:
$\left(-3,\ 5\right)$ and $\left(0,\ -1\right)$

a)

$y=-2x-1$

b)

$y=-\frac{1}{2}x-1$

c)

$y=-1$

d)

$y=-3x+5$

6.

Write the equation of the line passes through the point (2, 1) and has a slope of 4.

a)

$y=3x-2$

b)

$y=4x-7$

c)

$y=4x+7$

d)

$y=3x+3$

7.

Find the equation of the line that passes through the points: (-2, 4) and (1, 10)

a)

$y=2x-1$

b)

$y=-2x+1$

c)

$y=2x+8$

d)

$y=-2x$

8.

Identify the slope-intercept equation for the line graphed.

a)

$y=\frac{1}{2}x-3$

b)

$y=\frac{7}{5}x-3$

c)

$y=\frac{5}{7}x-3$

d)

$y=-\frac{7}{5\ }x-3$

9.

What is the equation of this line in slope-intercept form?

a)

y = 2x + 5

b)

y = -2x + 5

c)

y = -2x

d)

y = 5

10.

Write in slope intercept form
5x - 3y = -9

a)

y = (5/3)x - 3

b)

y = (5/3)x + 9

c)

y = (5/3)x + 3

d)

y = (3/5)x + 3

11.

Which represents -2x - 3y = 12 in slope intercept form.

a)

$y\ =\ -\frac{2}{3}x\ -\ 4$

b)

$y\ =\ \frac{2}{3}x\ -\ 4$

c)

$y\ =\ -\frac{2}{3}x\ +\ 4$

d)

$y\ =\ \frac{2}{3}x\ +\ 4$

12.

Suppose you are saving for a new skateboard. You currently have $10 that you put in an envelope to save. Each week you put $5 in that envelope. If this were to be written as a function, how would 10 and 5 be represented?

a)

10 would be the slope; 5 would be the y-intercept

b)

10 would be the y-intercept; 5 would be the slope

c)

15 would be the y-intercept

d)

15 would be the slope

13.

Which table of values can be defined by y=x+5?

a)

a

b)

b

c)

c

14.

A holiday meal costs $12.50 a person plus a delivery fee of $30.

a)

30 + 12.5x

b)

12.5 + 30

c)

12.5 + 30x

15.

Find the slope between the two given points: (-2,1) and (5,7)

a)

7/6

b)

2

c)

6/7

d)

-2

16.

Which graph represents 2x + 4y = 12? Convert into y=mx+b

a)

b)

c)

d)

17.

A bottled water company uses the graph here to figure out the weight of the water it transports to local businesses by truck. The graph shows the weight of the water based on its volume. What does the point (20,55) mean?

a)

Twenty gallons of water weighs 55 pounds.

b)

Fifty-five gallons of water weighs 20 pounds.

c)

Forty-five gallons of water weighs 20 pounds.

d)

Twenty gallons of water weighs 45 pounds.

18.

Olivia wants to park her car for 8 hours. Which parking garage will give her a cheaper rate?

Garage A: y=6+12x

Garage B: y=10+16x

a)

Garage A

b)

Garage B

19.

Langston has $30 on a bus card. Every time he rides a bus $1.20 is deducted from the card. What is a good equation to fit this scenario?

a)

y=30

b)

y=30-1.2x

c)

y=30+1.2x

d)

y=1.20-30x

20.

Derrick started a new job at McDonald's. He makes $10 per hour. Which table models his total weekly earnings in terms of the number of hours he works?

a)

b)

c)

d)

21.

Here is a graph of a line showing the amount of money paid for a new cell phone and monthly plan. What does the slope mean in this situation?

a)

The initial cost of the cell phone was $200.

b)

The initial cost of the cell phone was $300.

c)

The monthly plan costs $50 per month.

d)

The monthly plan costs $100 per month.

22.

What does the slope represent in this situation?

a)

The sloth runs 1 feet in 3 minutes

b)

The sloth runs 3 feet in 1 minute

c)

The sloth runs fast

d)

The sloth runs 6 feet in 1 minute

23.

What is the meaning of the y-intercept?

a)

The weight in the bucket increases by 1 pound per pound of sand.

b)

Before sand is put in the bucket, it weighs 1 pound.

c)

The starting weight of the sand is 1 pound.

d)

The weight in the bucket decreases by 1 pound per pound of sand.

24.

The graph shows the candle's height (cm) as it burns (minutes). What does the slope MEAN?

a)

The candle burns 1 cm every minute.

b)

The candle burns 2 cm every 2 minutes.

c)

The candle burns 2 cm every minute.

d)

The candle burns 1 cm every 2 minutes.

25.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

26.

Select all of the following equations in point-slope form.

a)

y - 2 = 5(x - 2)

b)

3x + 2y = 12

c)

y + 2 = 1/4(x + 4)

d)

y = 4x + 6

e)

2y = 5x - 7

27.

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

28.

What is the equation in Point-Slope form

of the line that goes through

the point (6,1) and has a slope of -3?

a)

y - 6 = -3(x - 1)

b)

y + 6 = -3(x + 1)

c)

y - 1 = -3(x - 6)

d)

y + 1 = -3(x + 3)

29.

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

a)

y = -3x - 23

b)

y = -3x - 13

c)

y = -3x - 11

d)

y = -3x + 13

30.

Which of these represents standard form form?

a)

y - y1 = m(x-x1)

b)

Ax + By = C

c)

y = mx + b

31.

STANDARD FORM:

2x - 5y = -10

What is the slope?

a)

$-\frac{2}{5}$

b)

$\frac{1}{2}$

c)

$\frac{3}{2}$

32.

STANDARD FORM:

2x - 5y = -10

What is the y-intercept?

a)

3

b)

5

c)

2

33.

STANDARD FORM:

2x - 5y = -10

What will this look like on a graph?

a)

b)

c)

34.

STANDARD FORM:

x + 3y = -3

What will this look like on a graph?

a)

b)

c)

35.

Which of the graphs represents the linear inequality $y>\frac{1}{2}x+3$ ?

a)

b)

c)

d)

36.

Which of the graphs represents the linear inequality $y\le-x-4$ ?

a)

b)

c)

d)

37.

Which of the following linear inequalities represents the graph?

a)

$y\ge3x-5$

b)

$y\ge\frac{1}{3}x-5$

c)

$y\le-\frac{1}{3}x-5$

d)

$y>\frac{1}{3}x+5$

38.

Which of the following linear inequalities represents the graph?

a)

$y\ge3$

b)

$x\ge3$

c)

$y\le3$

d)

$y<3$

39.

Which of the following linear inequalities represents the graph?

a)

$x\ge2$

b)

$x\ge-2$

c)

$y\ge-2$

d)

$y>-2$

40.

When graphing a linear inequality, < and > signs would require you to draw...

a)

a solid line

b)

a dotted line

41.

When graphing a linear inequality, $\le$ and $\ge$ signs would require you to draw...

a)

a solid line

b)

a dotted line

42.

Choose the correct inequality for this graph.

a)

b)

c)

d)

43.

Which of the following equations match the given graph?

a)

y < 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y ≤ 2/5x + 1

d)

y ≥ -2/5x - 1

44.

There are no more than 18 students on the hall.

a)

s>18

b)

s<18

c)

s≤18

d)

s≥18

45.

There are fewer than 150 children at the playground.

a)

c<150

b)

c>150

c)

c≤150

d)

c≥150

46.

At least 25 cats are on my porch.

a)

c<25

b)

c>25

c)

c≤25

d)

c≥25

47.

Grace has $45 at most in her purse.

a)

g<45

b)

g>45

c)

g≤45

d)

g≥45

48.

The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?

a)

106 - 4x ≤ 70

b)

70 + 4x ≤ 106

c)

4x - 106 ≥ 70

d)

106 - 4x< 70

49.

Damian can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

a)

10x + 1.50 ≥ 40

b)

1.50x + 10 ≤ 40

c)

1.50x + 10 <40

d)

10x + 1.50 < 40

50.

Which word problem represents the inequality:
x + 32 ≥ 80
(Show work by writing down inequality clue words.)

a)

Janine's goal is to earn at least $80 for soccer camp. She has earned $32 so far. How much more does she need to earn?

b)

Janine made more than 80 points during the basketball season. She made 32 points the first five games. How much did she score the rest of the games?

c)

Janine scored above an 80 on her math homework. But, she turned her work in late and was deducted 32 points. What did she make after the deduction?

Linear Functions REview

Total questions: 50

Worksheet time: 3hrs 41mins

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