Free Printable Midterm Algebra I Practice

Worksheets

Midterm Algebra I Practice

Total questions: 55

Worksheet time: 13hrs 36mins

Name

Class

Date

A club at school needs $500. Their money collection for the week is modeled with f(x)=10+20x. What is the meaning of the constant 10?

It's the starting amount.

It's how much money is left over.

It's how much money still needs to be collected.

It's the amount of money raised each week.

A bakery has an order to make 100 cupcakes. The workers can frost and decorate 3 cupcakes per minute. Let x be the number of minutes the workers have been working. Write an inequality that says the number of cupcakes remaining to be decorated is less than 20.

3x-100<20

100+3x<20

100-3x>20

100-3x<20

Which function has the same y-intercept as the graph?

y = (12-6x) / 4

27 + 3y = 6x

6y + x = 18

y + 3 = 6x

Based the tables, what is the solution of the system?

(1, 2)

(-1, -8)

(2, -5)

No Solution

Which inequality is represented in the graph?

y ≥ -3x + 4

y ≤ -3x + 4

y ≥ -4x - 3

y ≤ -4x - 3

In the equation y=mx+b, what does the m represent?

slope

y-intercept

linear

point-slope

Find the slope of the line shown.

Undefinded

-4

What is the slope if the changes in x = 0?

Undefined

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

1/2

-1/2

-2

10.

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

2/5

-5/2

5/2

-1/2

11.

Solve for a.

a = pw

a = p/w

a = w/p

a = w + p

12.

Solve for x:

x = yb - v

x = by - v

x = by + v

13.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 8 = 3(x - 4) + 1

one

no solutions

infinite solutions

14.

Is this a function?

Function

Not a Function

15.

Solve the literal equation for y:

8x - 2y = 12

y = 4x - 6

y = -4x + 6

y = -8x + 12

y = 8x - 6

16.

Solve:

4x + 1 + 10x + 7 = 2(7x - 4)

All real numbers

No Solution

x = -2

x = 2

17.

Graph the equation using the slope and y-intercept.

18.

Give the x-intercept
3x + 8y = 24

(8, 0)

(0, 8)

(3, 0)

(0, 3)

19.

Give the y-interecept
3x + y = 5

-3

(0,5)

-5

(0, -3)

20.

All of the x values or inputs are called what?

Domain

Range

Relation

Function

21.

y≥x−1

y≤x−1

y>x−1

y≤x+1

22.

If f(x)=3x-9, find f(5).

f(5) = 6

f(5) = 16

f(5) = -4

f(5) = 24

23.

What type of correlation the scatter plot shows?

Positive correlation

Negative correlation

No correlation

Non-linear correlation

24.

The equation y = 3x + 8 models the amount of snow in y inches after x hours.

Interpret the y-intercept

8 inches of snow falls in 3 hours.

3 inches of snow falls in 8 hours.

When we started measuring, there were already 8 inches of snow on the ground.

Every hour, 3 new inches of snow accumulates.

25.

2x - 3 + 4x = 27

26.

Solve for x:
5x - 14 = 8x + 4

x = 6

x = -6

x = -18/13

x = 10/3

27.

Which equation matches the table?

y = 3x + 9

y = 1/3x + 9

y = x + 3

y = 12x - 3

28.

Which graph does not represent y as a function of x?

29.

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

15x + 2.5 = 10x + 3

15 - 2.5x = 10 - 3x

15 + 2.5x = 10 + 3x

15 - 10 = 2.5x + 3x

30.

Which equation best represents the data?

A. y= -3/5x + 2

B y = 5/3x -2

C y = -3/5x - 2

D y= 5/3x + 2

31.

Which equation best represents the data?

A y = 3/4x + 1

B y = 4/3x - 1

C y = -3/4x - 1

D y = -4/3x - 1

32.

Two lines that are parallel will have ...

Slope that is opposite reciprocals

No slope

Slope that is the same

none of the above

33.

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.

No, because each x-value has only one y-value paired with it.

34.

What is the slope?

1/2

35.

Give the slope and y-intercept
6x - 3y = -9

slope is 6
y-intercept is 9

m=2
b=3

slope is 2
y-intercept is -3

m = 3
b = 2

36.

f(x) is the same thing as ______.

input

an equation

37.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 7 = 3(x - 3) + 2

one

no solutions

infinite solutions

38.

14 < -2a + 6 - 2a

a > -2

a < -2

a > 2

a < 2

39.

Solve:
3(x - 2) < 2(x + 9)

x<24

x>12

x<12

x>24

40.

5. How many solutions does the following system have? Why?
y = -2/3x + 5
2x + 3y = 15

None. The equations have the same slope and different
y-intercepts

Infinitely many. The equations are exactly the same when in slope-intercept form.

Three. There are two equations so there are exactly three solutions to the system.

One. The equations have different slopes so there is exactly one solution.

41.

11. Which of these graphs represents the inequality?
y ≥ -1/5x - 1

Graph A

Graph B

Graph C

Graph D

42.

|x+3| = 7

-4

4 and - 4

4 and - 10

43.

Write an equation of the line passing through the points (4,7) and (5,-2).

y = -9x + 43

y = 9x - 43

y = -9x + 3

y = -9x + b

44.

Write the equation of a line in point-slope form that passes through the point (-4,5) with a slope of -5/2.

y + 5 = 5/2(x-4)

y - 5 = -5/2(x+4)

y - 5 = 5/2(x - 4)

y - 5 = -5/2(x - 4)

45.

Write an equation that is parallel to y = 3x + 5 and going thru (2,5).

y = 3x + 1

y = 3x + b

y = -3x -1

y = -3x + 1

46.

What are the next 3 terms in the sequence.
-2, 1, 4, 7, ...

10, 13, 16

10, 13, 15

8, 9, 10

4, 1, -2

47.

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

1s + 3c = 38
2s + 3c = 52

3s + 1c = 38
3s + 2c = 52

s + c = 38
s + c = 52

3s + 3c = 38
1s + 2c = 52

48.

Translate the following sentence into an equation.

Twice a number m minus three equals the sum of m and five.

2(m – 3) = m + 5

2m – 3 = m + 5

2m – 3 = 5m

2(m – 3) = 5m

49.

|3m - 9| = 18

m = 9,-3

m = 9,3

m = 9

no solution

50.

Solve for b

17/12

4/3

1/8

51.

What is f when x equals 4?

-5

52.

What is this type of function called?

Discrete Function

Segment Function

Step Function

53.

Two lines that are perpendicular lines have ...

Slope that is opposite reciprocals

No Slope

Slope that is the same

none of the above

54.

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

Parallel

Perpendicular

Neither

55.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

-2

1/2

-1/2

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Midterm Algebra I Practice

Total questions: 55

Worksheet time: 13hrs 36mins

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