Free Printable LFG Practice Test

1.

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

a)

y-intercept

b)

x-intercept

c)

slope

d)

rate of change

2.

What is the slope of the equation?
y = -3x + 4

a)

-3

b)

3

c)

4

d)

-4

3.

Bob has $150 in his savings account and saves $40 per month. Which function models his savings?

a)

y = 150 + 40

b)

y = 40x + 150

c)

y = 150x + 40

4.

A golf course charges $15 to rent golf clubs and charges $25 per round to play. Write an equation to represent the total cost, T, for one player.

a)

T = 15 + 25r

b)

T = 15g + 25r

c)

T = 40 r

d)

T = 15r + 25

5.

What is the domain of the graph shown?

a)

{-2, -1, 0, 1, 2, 3, 4}

b)

{2, 3, 4}

c)

2 ≤ y ≤ 4

d)

-2 ≤ x ≤ 4

6.

Evaluate f(-4) for the function f(x)=3x²-5

a)

f(-4) = 43

b)

f(-4) = 139

c)

f(-4) = -52

d)

f(-4) = -149

7.

_{What is the y-intercept of the line?}

a)

(0,¹/₂)

b)

(0,1)

c)

(0, ^-1/2)

d)

(0, -1)

8.

^{What is the x- intercept of the line?}

a)

(1, 0)

b)

(2, 0)

c)

( -1, 0)

d)

(-2, 0)

9.

What is the y-intercept in the equation x + 2y = 4

a)

(0, 0)

b)

(0, 2)

c)

(4, 0)

d)

(2, 0)

10.

What is the y-intercept of the equation:
y = 2x - 3

a)

-2

b)

2

c)

3

d)

-3

11.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

12.

Find the slope:
y = 2x - 10

a)

1/2

b)

2

c)

5

d)

-10

13.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

14.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

15.

What is the formula for finding the distance between two points given their coordinates?

a)

$\sqrt{\left(x_2+x_1\right)^2+\left(y_2+y_1\right)^2}$

b)

$\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

c)

$\sqrt{\left(x_2-x_1\right)^2-\left(y_2-y_1\right)^2}$

d)

$\sqrt{\left(x_2+x_1\right)^2-\left(y_2+y_1\right)^2}$

16.

What do you call the measure of the steepness of a line?

a)

Midpoint

b)

Radius

c)

Gradient

d)

Derivative

17.

Find the gradient between point $\left(3,7\right)$ and $\left(-2,5\right)$ .

a)

$\frac{2}{5}$

b)

$\frac{5}{2}$

c)

$-\frac{2}{5}$

d)

$-\frac{5}{2}$

18.

Find the coordinates of the midpoint of $\left(6,-3\right)$ and $\left(4,5\right)$ .

a)

$\left(2,-4\right)$

b)

$\left(-4,2\right)$

c)

$\left(1,5\right)$

d)

$\left(5,1\right)$

19.

The equation of a line is $y=3x-4$ , find its gradient.

a)

$-4$

b)

$3$

c)

$-3$

d)

$4$

20.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

21.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

22.

Find the distance between the points (4, 3) and (0, 6).

a)

3

b)

4

c)

5

d)

7

23.

How do you measure gradient?

a)

Gradient = rise / run

b)

Gradient = vertical change in x / horizontal change in y

c)

Gradient = vertical change in y / horizontal change in x

d)

Gradient = run / rise

24.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

25.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

26.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

27.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

28.

Determine the slope and y-intercept from the following equation: 2y = 3x + 6

a)

m: 2/3 b: (0,3)

b)

m: 3/2 b: (0,3)

c)

m: 4 b: (0,3/2)

d)

m: 1/5 b: (0,5)

29.

What is the slope of a line parallel to y = -2/6x + 10

a)

2/6

b)

-1/3

c)

6/2

d)

-3

30.

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

a)

y = 5x - 2

b)

y = -2x + 7

c)

y = 5(x - 2)

d)

y = -1/5x - 2

31.

Solve:

3x - y = 11

x + y = 5

a)

x = 4

y = 1

b)

x = 4

y = -1

c)

x = -4

y = 1

d)

x = -4

y = -1

32.

Where do these two lines intersect?

a)

No solution

b)

(-2, 3)

c)

(3, -2)

d)

(2, 3)

33.

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of colour brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of colour brochures. Which simultaneous equations represent this situation?

a)

x+y=134

x+y=120

b)

3x+3y=134

4x+3y=120

c)

4x+3y=134

3x+3y=120

d)

7xy=134

6xy=120

34.

What is the solution to the system of equations?

a)

(5, 2)

b)

(2, 5)

c)

(-5, 2)

d)

(-2, -5)

35.

What is the solution to the system of equations?

a)

(3, -2)

b)

(3, 2)

c)

(2, 3)

d)

(2, -3)

36.

Find the solution of the simultaneous equations given the graph.

a)

(0, 2)

b)

(2, 2)

c)

(-1, 3)

d)

no solution

LFG Practice Test

Total questions: 36

Worksheet time: 2hrs 48mins

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