Free Printable ALGEBRA MID-TERM

1.

Is this table a function and how can you tell?

a)

Yes its a function because there are not variables for missing numbers

b)

No it's not a function because the y value 4 repeated

c)

No it isn't a function because the x value 2 is repeated

d)

No it's not a function because the x value 5 has y values of 10 & 12

2.

a)

It is a function because no vertical lines hit it twice.

b)

It's not a function because a vertical line hits it twice.

c)

It's not a function because no vertical lines hit it twice.

d)

It is a function because a vertical line hits it twice.

3.

a)

It is a function because no vertical lines hit it twice.

b)

It's not a function because a vertical line hits it twice.

c)

It's not a function because no vertical lines hit it twice.

d)

It is a function because a vertical line hits it twice.

4.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

a)

S + A = 530
3S + 4A = 1740

b)

S + A = 530
4S + 3A = 1740

c)

S + A = 1740
3S + 4A = 530

d)

S + A = 1740
4S + 3A = 530

5.

Josh is thinking of two numbers. Their sum is -10 and their difference is -2. Which system of equations represents the situation?

a)

x - y = -10
x + y = -2

b)

x = -2
y = 5

c)

x + y = -2
x - y = -10

d)

x + y = -10
x - y = -2

6.

Nancy went to the grocery store. 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?

a)

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

b)

x + y = 4
x - y = 6

c)

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

d)

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

7.

Solve the system:
3x + y = 19
2x - y = 6

a)

(5, 14)

b)

(4, 5)

c)

(5, 4)

d)

(14, 5)

8.

Solve the system:
x + y = 19
y = 3x - 1

a)

(14, 5)

b)

(11, 8)

c)

(5, 14)

d)

(8, 11)

9.

Find the sum of the solution

a)

no solutions

b)

infinite number of solutions

c)

-10

d)

-15

10.

Identify the two inequalities that represents the graph.

a)

y > ½x - 3

b)

y ≤ -4x + 2

c)

y < ½x - 3

d)

y ≥ -4x + 2

11.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

12.

Write an inequality represented by the graph.

a)

x < - 3

b)

y < - 3

c)

x > - 3

d)

x ≥ - 3

13.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

14.

Which system of inequality is shown?

a)

y > -1/5x - 1/2
y ≥ -2x - 4

b)

y > -1/5x - 1/2
y ≤ -2x - 4

c)

y ≥ -1/5x - 1/2
y ≤ -2x - 4

d)

y < -1/5x - 1/2
y ≥ -2x - 4

15.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

16.

-6x + y = 2
6x + y = 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

17.

What is the slope in the equation: y=4x+3

a)

3

b)

4x

c)

4

d)

3x

18.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

19.

Determine the y-intercept for the following equation
4x + 2y = -12

a)

4

b)

-6

c)

-12

d)

2

20.

What is the x and y intercept for the following equation ?
4x - 10y = 20

a)

x - int = 4
y-int = -10

b)

x-int = 5
y-int = 2

c)

x - int = 5
y int = -2

d)

x -int = 4
y -int = -10

21.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(3, 0)

c)

(0, 3)

d)

None of these.

22.

What is the x-intercept shown on the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 3)

d)

(3, 0)

23.

What is the y-intercept?
f(x) = -2x² + 4x - 6

a)

(0, 6)

b)

(0, -6)

c)

(6, 0)

d)

(-6, 0)

24.

What is standard form of a line?

a)

y = mx + b

b)

Ax + By = C

c)

y - y1 = m(x - x1)

d)

y = Ax + By

25.

What is the slope-intercept form of a line?

a)

Ax + By = C

b)

y = mx + b

c)

y - y1 = m(x - x1)

d)

y = Ax + By

26.

Which of these represents standard form form?

a)

y - y1 = m(x-x1)

b)

Ax + By = C

c)

y = mx + b

27.

Write an equation

m = - 1/2 through ( -2, 4 )

a)

y = - 3/2x + 3

b)

y = 3/2x + 3

c)

y = - 1/2x + 3

d)

y = 3x - 3/2

28.

Write the slope-intercept form of the equation with the given point and slope.

Through ( - 1,4 ) and m = - 3

a)

y = x - 3

b)

y = - 3x + 1

c)

y = x + 2

d)

y= - 3x + 4

29.

Write the slope-intercept equation of a line passing through the points (2, 5) and (4, 9).

a)

y = 1x + 6

b)

y = 4x + 3

c)

y = 3x + 2

d)

y = 2x + 1

30.

Find the y-intercept of the line with equation y = 3x + 2.

a)

2

b)

-2

c)

0

d)

3

31.

Find the slope-intercept equation

a)

y = 2x + 3

b)

y = -2x +3

c)

y = ¹/₂ x+3

d)

^{y = -1}/₂ x+3

32.

Find the slope-intercept equation

a)

y = 4x + 6

b)

y = -4x - 6

c)

y = 1/4x - 6

d)

y = -1/4x + 6

33.

Solve.
|y - 1| ≤ 6

a)

-7 ≤ y ≤ 5

b)

y ≤ -7 or y ≥ 5

c)

-5 ≤ y ≤ 7

d)

y ≤ -5 or y ≥ 7

34.

Solve.
|y - 4| ≥ 8

a)

y ≤ -4 or y ≥ 12

b)

-4 ≤ y ≤ -12

c)

y ≤ 4 or y ≥ -12

d)

-12 ≤ x ≤ 4

35.

Solve.

|x + 4| < 5

a)

x < -9 or x > 1

b)

-9 < x < 1

c)

x < 9 or x > -1

d)

-1 < x < 9

36.

|2a - 10| = 6

a)

a = 8, a = 5

b)

a = 2

c)

a = 8

d)

a = 8, a = 2

37.

|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

No Solution

38.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

39.

Could x = - 5 be a solution to the inequality -6 < 3x + 9 < 21?

a)

yes

b)

no

40.

0 < x + 7 < 9

a)

-7<x and x<2

b)

-7<x or x<2

c)

-7>x and x>2

d)

-7>x or x>2

41.

10 < 3x + 19

a)

x < 3

b)

x > 3

c)

x < -3

d)

x > -3

42.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

43.

Solve 21 + m = 33

a)

m = 54

b)

m = 12

c)

m = -54

d)

m = -12

44.

which number is a rational number ?

a)

1/4

b)

π

c)

√3

45.

√25

a)

Rational

b)

Irrational

46.

√7

a)

Rational

b)

Irrational

47.

-17.5

a)

Rational

b)

Irrational

48.

5

a)

Rational

b)

Irrational

49.

√2

a)

Rational

b)

Irrational

50.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = (R-c) / a

51.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

52.

Solve for r:
$LA\ =\ 2\pi rh$

a)

$LA-2\pi h\ =\ r$

b)

$\frac{LA}{2\pi h}=\ r$

c)

$\frac{LA}{2}-\pi h\ =\ r$

d)

$\frac{2LA}{\pi h}=\ r$

53.

Solve for h
$V\ =\ lwh$

a)

$V\ -l-w\ =\ h$

b)

$V-lw\ =\ h$

c)

$\frac{V}{lw}=\ h$

d)

$V-\frac{l}{w}=h$

54.

How many solutions does the equation have
4 ( 8n - 1 ) = 19 + 32n

a)

One Solution

b)

No Solution

c)

Infinite Solutions

55.

How many solutions does the equation have
-2 ( -4x + 7 ) = -2 + 4x

a)

One Solution

b)

No Solution

c)

Infinite Solutions

56.

How many solutions does the equation have
3t + 5 = 4t + 7

a)

One Solution

b)

No Solution

c)

Infinite Solutions

57.

How many solutions does the equation have
6x + 3 = 6x + 3

a)

One Solution

b)

No Solution

c)

Infinite Solutions

58.

Solve the equation.
$5x-9=-3x+7$
Just type the number. x = (a)

59.

Solve the equation.
$8x-13=6x+13$
Just type the number. x = (a)

60.

$21=3+4n+5n$

a)

9

b)

$-7$

c)

6

d)

2

61.

$5\left(x+2\right)=25$

(a)

ALGEBRA MID-TERM

Total questions: 61

Worksheet time: 3hrs 1mins

Similar Resources on Wayground