Free Printable Unit 5 Review; Linear functions & systems

1.

The equation y = 3x + 5 has _____

a)

A unique solution

b)

Only two solutions

c)

Three solutions

d)

Infinitely many solutions

2.

If (2 ,0) is a solution of the linear equation 2x + 3y = k, then the value of k is_____

a)

4

b)

5

c)

6

d)

2

3.

The graph of the linear equation 2x + 3y = 6 cuts the y - axis at the point _____

a)

(2 ,0)

b)

(0 ,3)

c)

(3 ,0)

d)

(0, 2)

4.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

5.

Which of the following is a solution of equation x-2y = 4:

a)

a. (0,2)

b)

b. (2,0)

c)

c. (4,0)

d)

d. (1,1

6.

The graph of linear equation x + y = 2, cuts the y-axis at:

a)

a. (2,0)

b)

b. (0,2)

c)

c. (0,1)

d)

d. (1,1)

7.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

8.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

9.

Is (1, 2) a solution to the linear equation 2x + 5y = 12?

a)

Yes

b)

No

10.

Select all of the points that are solutions to the linear equation 5x + 8y = 40.

a)

(8, 0)

b)

(4, 2)

c)

(0,5)

d)

(1, 6)

11.

Which of the following is a solution to the graphed equation?

a)

(3, 2)

b)

(-4, 6)

c)

(1, 3)

d)

(3, 1)

12.

What is the formula for finding slope of the line containing $\left(x_1,\ y_1\right)\ and\ \left(x_2,\ y_2\right)$ ?

a)

$m=\frac{y_2-y_1}{x_2-x_1}$

b)

$m=\frac{x_2-x_1}{y_2-y_1}$

c)

$m=\frac{y_2-y_1}{x_1-x_2}$

d)

$m=\frac{y_1-y_2}{x_2-x_1}$

13.

Find the slope of the line that contains the given points:

$\left(2,-3\right)\ and\ \left(5,-1\right)$

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

$-\frac{2}{3}$

d)

$-\frac{3}{2}$

14.

Find the equation of a line in Point-Slope Form that has the given properties:

$m=-\frac{1}{2}\ through\ \left(-5,6\right)$

a)

$y-6=-\frac{1}{2}\left(x+5\right)$

b)

$y+6=-\frac{1}{2}\left(x-5\right)$

c)

$y+5=-\frac{1}{2}\left(x-6\right)$

15.

Find the equation of the line that contains the following points in SLOPE-INTERCEPT Form:

$m=5\ through\ \left(5,3\right)$

a)

$y=5x-22$

b)

$y=5x-28$

c)

$y=5x+22$

d)

$y-3=5\left(x-5\right)$

16.

Slope is another word for:

a)

Initial Value

b)

Rate of Change

c)

Change in Y's

d)

Y-intercept

17.

What is the y-intercept in the following equation: y=-4x-5

a)

-4

b)

-4x

c)

5

d)

-5

18.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

19.

In the equation, y = mx + b, the letter b is the ___________.

a)

y-intercept

b)

x-intercept

c)

slope

d)

rate of change

20.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

21.

Find the x and y intercepts
4x - 5y = 40

a)

x intercept is 10
y intercept is 8

b)

x intercept is 10
y intercept is 20

c)

x intercept is 8
y intercept is 10

d)

x intercept is 10
y intercept is -8

22.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

23.

Find the slope from the table.

a)

1/4

b)

-1/4

c)

-4/1

d)

4/1

24.

What is the y-intercept of this graph?

a)

(0,1)

b)

(0,-2)

c)

(0,0)

d)

(0,3)

25.

What is the y-intercept of the line graphed below?

a)

3

b)

4

c)

-3

d)

4/3

26.

which table is created from the equation..
y = -5x + 1?

a)

graph a

b)

graph b

c)

graph c

d)

graph d

27.

a)

an inequality

b)

a riddle

c)

a fun way to ride a bike

d)

The equation of a line

28.

The function for this graph is...

a)

y = -3x+1

b)

y=⅓ x + 1

c)

y= -⅓ x + 1

d)

y=3x-1

29.

In the linear equation y=mx+c, which letter is the gradient?

a)

y

b)

m

c)

x

d)

c

30.

Which of the following linear equations is true for the graph?

a)

$y=2x+2$

b)

$y=-2x+2$

c)

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

d)

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

31.

What is the definition of

Gradient of a Line?

a)

It is the measure of degrees of a line.

b)

It is the measure of length of a line.

c)

It is the measure of steepness of a line.

d)

It is the measure of strength of a line.

32.

When the line is a horizontal, the gradient is _____________ .

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

33.

When the line is vertical, the gradient is _____________ .

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

34.

When two lines are parallel, they have the same gradient.

a)

True

b)

False

35.

Which of the following statements are correct?

a)

the greater the value of gradient, the steeper the line

b)

the lower the value of gradient, the less steeper the line

c)

when the gradient is zero, the line is horizontal

d)

when the gradient is negative, the line is downward sloping (inclined to the left)

36.

What gradient is represented here

a)

negative

b)

zero

c)

undefined

d)

positive

37.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

38.

Parallel Lines never intersect because...

a)

they have the same slopes.

b)

they have the same y-intercept.

c)

they have different slopes.

d)

they have different y-intercepts.

39.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

40.

How can you tell if a point is a solution to a system?

a)

It makes the first equation true.

b)

The (x,y) coordinates satisfy both equations

c)

It makes logical sense

d)

It makes neither equation negative

41.

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

42.

a)

No Solution

b)

(2, 2)

c)

(-1, 2)

d)

(-1, -2)

43.

a)

(3, -6)

b)

(3, -8)

c)

Infinite number of solutions

d)

(3, 6)

44.

Solve:
y = 2x -11
-3y = -6x -15

a)

(-1.5,-4)

b)

(1.5,4)

c)

No solution (parallel lines)

d)

Infinitely many solutions

45.

Solve the following system:

y=4x+6

-5x-y=21

a)

$\left(-3,\ -6\right)$

b)

$\left(3,\ 6\right)$

c)

$\left(3,\ -6\right)$

d)

$\left(-3,\ 6\right)$

46.

Solve the system of equations using substitution:

y = 7x + 7

2y + 2x = -18

a)

(5, 0)

b)

(9, 18)

c)

(-2, -7)

d)

(1, 16)

47.

Solve by elimination:
4x+9y=28
-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

48.

Solve by elimination:
3x+7y=23

-3x-7y=-17

a)

No solution

b)

ARN

c)

(-3,3)

d)

(3,3)

49.

Solve by elimination:
-x+2y=17

2x+2y=-10

a)

(1,1)

b)

(-9,4)

c)

(-9,-4)

d)

(9,-4)

50.

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)

Unit 5 Review; Linear functions & systems

Total questions: 50

Worksheet time: 2hrs 20mins

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