Free Printable Algebra 1 Review LCCP

1.

Solve: 8v - 4(v + 8) = 8

a)

v = 2

b)

v = 10

c)

v = 4

d)

v = -4

2.

solve: 2x - 3 + 4x = 27

a)

x = 12

b)

x = 4

c)

x = 5

d)

x = 15

3.

10x + 9 = 4x - 9

a)

x = 0

b)

x = 3

c)

x = -3

d)

x = -18

4.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = (R-c) / a

5.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = (R-c) / a

6.

Solve the equation for d.
d / t = r

a)

d = r / t

b)

d = t / r

c)

d = rt

d)

d = r - t

7.

a = b + c , for c

a)

c = a - b

b)

c = a + b

c)

c = ab

d)

c = a / b

8.

a = b + c , for c

a)

c = a - b

b)

c = a + b

c)

c = ab

d)

c = a / b

9.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

10.

a = b + c , for c

a)

c = a - b

b)

c = a + b

c)

c = ab

d)

c = a / b

11.

Solve for y:
5x - y = 16

a)

-y = 5x + 16

b)

y = 5x + 16

c)

x = 5y - 16

d)

y = 5x - 16

12.

a)

Function

b)

Not a function

13.

a)

Function

b)

Not a function

14.

a)

Function

b)

Not a function

15.

a)

Function

b)

Not a function

16.

f(x) is the same thing as ______.

a)

y

b)

x

c)

input

d)

an equation

e)

TV channel

17.

If f(x) = 2x + 1, find f(1).

a)

f(1) = 1

b)

f(1) = 4

c)

f(1) = 0

d)

f(1) = 3

e)

f(1) = -1

18.

Translate the coordinate pair into function notation.

$\left(0,8\right)$

a)

$f\left(0\right)=8$

b)

$f\left(0\right)=-8$

c)

$f\left(8\right)=0$

d)

$f\left(-8\right)=0$

e)

$f\left(x\right)=8$

19.

Given the graph,

find:

$f\left(2\right)$

a)

$f\left(2\right)=5$

b)

$f\left(2\right)=4$

c)

$f\left(2\right)=3$

d)

$f\left(2\right)=0$

e)

$f\left(5\right)=2$

20.

What is the domain?

a)

the set of all x-values

b)

the set of all y-values

c)

a special type of function

d)

a function with more than 1 output for every input

e)

Same as an output

21.

Which graph represents a function?

a)

b)

c)

d)

22.

$f\left(x\right)=5x-12$ What is $f\left(-4\right)$

a)

-32

b)

-3

c)

-12

d)

3

23.

$Given\ h\left(x\right)=3x^2-2x+8\ what\ is\ h\left(2\right)?$

a)

13

b)

8

c)

16

d)

answer not here

24.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

25.

What is the solution to this system?
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

26.

Solve:
y = 7x + 9
2y + 2x = -18

a)

(5, 0)

b)

(9, 18)

c)

(-2, -5)

d)

(1, 16)

27.

6x + y = -1
y = -3x - 4

a)

(3, 1)

b)

(1, 7)

c)

(-3, 1)

d)

(1, -7)

28.

y = -2x + 18
y = 8

a)

(5, 8)

b)

(-5, 8)

c)

(2, 8)

d)

(-2, 8)

29.

Solve for x and y (Use Substitution)
2x − 3y = −1
y = x − 1

a)

(-2,-3)

b)

(0,-1)

c)

(3,4)

d)

(4,3)

30.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

31.

2x - y = 0

4x - y = 0

a)

(1,2)

b)

(0,0)

c)

No Solutions

d)

Infinite Solutions

32.

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

a)

x + y = 33
y = 2x - 3

b)

x + y = 33
x = 2y - 3

c)

x + y = 33
x = 3 - 2y

d)

x + y = 3
x = 33 - 2y

33.

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

34.

Write the inequalities represented in the picture.

a)

y > -2 + x
y ≤ 2x + 2

b)

y > 2 + x
y ≤ 2x + 2

c)

y ≥ -2 + x
y ≤ 2x + 2

d)

none of these are the system

35.

Write the inequality represented in the picture.

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

36.

Write the inequalities represented in the picture.

a)

y ≤ 3x and y ≤ -2x + 4

b)

y > 3x and y > -2x + 4

c)

y < 3x and y > -2x + 4

d)

y > 3x and y < -2x + 4

37.

Write the inequalities represented in the picture.

a)

y > -4/5x - 1 and y ≤ 2/3x + 3

b)

y ≥ -4/5x - 1 and y ≤ 2/3x + 3

c)

y < -4/5x - 1 and y < 2/3x + 3

d)

y < -4/5x - 1 and y ≥ 2/3x + 3

38.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

39.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

40.

Which inequality matches the picture shown?

a)

y < -1/2 x + 5

b)

y < -1/2 x + 5

c)

y > -1/2 x + 5

d)

y > -1/2 x + 5

41.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

42.

Consider the function y < 2x + 3, which of the following is true?

a)

The line would be solid with shading above.

b)

The line would be dashed with shading above.

c)

The line would be solid with shading below.

d)

The line would be dashed with shading below.

43.

Write the inequalities

a)

y≥-2x+3
y≤x-3

b)

y>2x+3
y≥x-3

c)

y>-2x+3
y≥x-3

d)

y<-2x+3
y≤x-3

44.

Identify the two inequalities that represents the graph.

a)

y > ½x - 3

b)

y ≤ -4x + 2

c)

y < ½x - 3

d)

y ≥ -4x + 2

45.

Which point below is NOT a part of the solution set?

a)

(0, 0)

b)

(0, 1)

c)

(-100, -3)

d)

(5, 10)

46.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

47.

This graph represents the inequality y < 3, TRUE or FALSE?

a)

TRUE

b)

FALSE

48.

Which of the following is NOT a solution to the systems of inequalities?

a)

(0, 0)

b)

(-4, 0)

c)

(2, 2)

d)

(3, 1)

49.

3r + 7 = 10r + 28

a)

-3

b)

3

c)

5

d)

-5

50.

7n + 2 = 4n + 17

(a)

51-60.

Answer the questions below after watching the video

51.

What is the first step in solving an inequality?

a)

Multiply both sides by a constant

b)

Add a constant to both sides

c)

Draw a vertical line through the inequality sign

d)

Divide both sides by a constant

52.

What should you do if you multiply or divide by a negative number while solving an inequality?

a)

Add a positive number to both sides

b)

Subtract a positive number from both sides

c)

Switch the inequality sign

d)

Keep the inequality sign the same

53.

In the first example, what operation is used to solve the inequality R + 7 < 13?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

54.

What is the solution set for the inequality R < 6?

a)

1, 2, 3, 4

b)

7, 8, 9, 10

c)

5, 4, 3, 2

d)

6, 7, 8, 9

55.

In the second example, what is the result of dividing -77 by -1?

a)

0

b)

-77

c)

77

d)

1

56.

What is the solution set for the inequality M ≤ 77?

a)

78, 79, 80

b)

76, 75, 74

c)

79, 78, 77

d)

77, 76, 75

57.

In the third example, what operation is used to solve the inequality involving division?

a)

Addition

b)

Multiplication

c)

Division

d)

Subtraction

58.

What is the solution set for the inequality A > 264?

a)

266, 267, 268

b)

265, 266, 267

c)

264, 263, 262

d)

263, 262, 261

59.

What should you remember when solving inequalities involving division?

a)

Keep the inequality sign the same

b)

Switch the inequality sign if dividing by a negative

c)

Always add a constant

d)

Subtract a constant

60.

What is the main takeaway from the video on solving inequalities?

a)

Keep the inequality sign the same

b)

Never use division

c)

Inverse operations are key

d)

Always use addition

61-70.

Answer the questions below after watching the video

61.

What is a common challenge students face with literal equations?

a)

Understanding the concept of variables

b)

Dealing with inverse operations

c)

Performing basic arithmetic

d)

Memorizing formulas

62.

What is the first step in solving the equation ax + b = c for x?

a)

Subtract b from both sides

b)

Divide both sides by a

c)

Add b to both sides

d)

Multiply both sides by a

63.

In the equation ax + b = c, what operation is used to isolate x after subtracting b?

a)

Addition

b)

Division

c)

Subtraction

d)

Multiplication

64.

What is the final form of x in the equation ax + b = c?

a)

x = (c + b) / a

b)

x = (c - b) / a

c)

x = c - b / a

d)

x = c + b / a

65.

In the equation 2x + 3y = 6, what is the first step to isolate x?

a)

Add 3y to both sides

b)

Subtract 3y from both sides

c)

Multiply both sides by 2

d)

Divide both sides by 2

66.

After subtracting 3y from both sides in the equation 2x + 3y = 6, what is the next step?

a)

Subtract 2 from both sides

b)

Multiply both sides by 2

c)

Divide both sides by 2

d)

Add 2 to both sides

67.

What is the simplified form of x in the equation 2x + 3y = 6?

a)

x = 6 / 2 - 3y

b)

x = 6 / 2 + 3y

c)

x = (6 - 3y) / 2

d)

x = (6 + 3y) / 2

68.

What is the result of dividing 6 by 2 in the equation 2x + 3y = 6?

a)

2

b)

4

c)

3

d)

1

69.

What is the result of dividing -3y by 2 in the equation 2x + 3y = 6?

a)

-3y / 2

b)

3y / 2

c)

-3 / 2

d)

3 / 2

70.

What is the key concept to remember when solving literal equations?

a)

Finding the exact value of the variable

b)

Isolating the variable

c)

Memorizing the steps

d)

Using a calculator

71.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

Algebra 1 Review LCCP

Total questions: 53

Worksheet time: 4hrs 48mins

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