Free Printable NJSLA Basic Math Practice

Worksheets

NJSLA Basic Math Practice

Total questions: 40

Worksheet time: 3hrs 53mins

Name

Class

Date

What is the definition of function?

Has inputs and outputs

Every input has only ONE output

Inputs have different outputs every time

x-values and y-values

Function

Not a Function

Is this mapping a function or not a function?

Function

Not a Function

All of the y values or outputs are called what?

Domain

Range

Relation

Function

Is the relation a function? Why.

Yes, because the x-value 11 has two y-values pair with it.

Yes, because each x-value has only one y-value paired with it.

No, because the x-value 11 has two y-values pair with it.

Is this graph a function or not a function?

Function

Not a Function

Which set of values is a function?

(9,5) (10,5) (9,-5) (10,-5)

(3,4) (4,-3) (7,4) (3, 8)

(6,-5) (7, -3) (8, -1) (9, 1)

(2, -2) (5, 9) (5, -7) (1, 4)

Does the table represent a function?

Yes, there is a repeated x-value.

No, there aren't any repeated y-values.

Yes, there are repeated y-values.

No, there is a repeated x-value.

-24

-22

10.

11.

Is function represented by the table linear or nonlinear?

linear

nonlinear

12.

Function

Not a Function

13.

Which graph does NOT pass the vertical line test?

Graph 1

Graph 2

Graph 3

Graph 4

14.

What is the domain of the graph?

-3 ≤ x ≤ 3

3 ≤ x ≤ -3

-2 ≤ x ≤ 10

-3 ≤ x ≤ 10

15.

What is the range of the graph?

-4 ≤ x ≤ 3

3 ≤ x ≤ -3

-2 ≤ x ≤ 10

-3 ≤ x ≤ 10

16.

What is the solution to the equations?

one solution

no solution

infinite solutions

none of these

17.

What is the solution to this equation?

one solution

no solution

infinite solutions

none of these

18.

What is the first step to solve this equation:
11 - 3x = 44

Add 3 to both sides

Subtract 11 from both sides

Add 11 to both sides

Divide 3 on both sides.

19.

How many solutions does this equation have?

8y - 4 = 8y - 4

One Solution

No Solution

Infinitely Many Solutions

20.

Find the slope

-5/3

-3/5

5/3

3/5

21.

The slopes of parallel lines are...

the same

opposite

always different

22.

Slope is know as rise/

run

fall

none

rise

23.

Find the slope of the line that passes through: (6,7) and (4,2)

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

2/5

-5/2

5/2

24.

Convert the standard form equation into slope-intercept form.
x + 5y = -25

y = -⅕x - 5

y = -x - 5

x = 20

25.

What is the slope?

12x - 6y = 30

**get y by itself.

-2

26.

what is the first step to solve for slope intercept form on

-x + 4y = 11

subtract 11 from both sides

add x to both sides

subtract x from both sides

put in th y=

27.

which of the following is the best first step to solve for y = mx +b? equation is -2x - 4y = -12

add 4y to both sides

subtract 2x from both sides

add 2x to both sides

divide by -4

28.

Determine the slope and y-intercept from the following equation: 4x + y = -10

slope: 4 y-intercept: (0,10)

slope: -4 y-intercept: (0,-10)

slope: -4 y-intercept: (0,10)

slope: 4 y-intercept: (0,-10)

29.

Which point below is NOT part of the solution set?

(0, 0)

(5, 1)

(-1, -3)

(20, -5)

30.

Will my line be solid?
5 ≥ x

Yes

31.

Is (-2,4) a solution to the system?

Solution

Not a solution

32.

Which point is a solution?

(0, 6)

(-3, 4)

(1, 0)

(-4, 3)

33.

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

x + y = 15
4x + 2y = 44

4x + 2y = 15
x + y = 44

x = 2y + 44
4x = y + 15

2x - 4y = 44
x - y = 15

34.

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

4x + 6y = 3
13.5x - 13y = 6

x + y = 4
x - y = 6

4x + 6y = 13
3x + 7y = 13.5

4x - 6y = 13
3x - 7y = 13.5

35.

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. Which system of equations solves this problem to show how many students were in each van and each bus?

11v + 3b = 283

12v + 14b = 770

v + b = 14

v + b = 16

11v + 12v = 283

3b + 14b = 770

v + b = 30

23v + 17b = 1053

36.

Which polynomial is written in standard form?

-3x + 8x² + 9x³ - 11

9x³ + 8x²- 3x - 11

8x²+ 9x³ -11 - 3x

-11 - 3x + 8x² + 9x³

37.

Add the following polynomials:
(6n²- 7n⁴+8) + (6 + 8n + 4n⁴)

-3n⁴+ 6n²+8n+14

-n⁴-2n²+8n+7

-n⁴ + 6n²+8n+7

-3n⁴+ 6n²+8n+7

38.

Subtract the following polynomials:
(a³ - 2a²) - (-4a³ + 4a²)

-5a⁶- 5a⁴

5a³ - 2a²

-2a³ - 6a²

5a³ - 6a²

39.

Find the product:
5xy(6x - y)

11x² - y²

30x² + y²

30x²y - 5xy²

11x²y + 5x²y²

40.

What is the Perimeter?

**Add all sides!

3x - 3 inches

6x - 6 inches

3x - 6 inches

6x - 3 inches

100 %

NJSLA Basic Math Practice

Total questions: 40

Worksheet time: 3hrs 53mins

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