Free Printable Algebra IA: Review Capstone #1

Free Printable Worksheets

Worksheets

Algebra IA: Review Capstone #1

Total questions: 70

Worksheet time: 4hrs 51mins

Name

Class

Date

1.

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

2.

Is the relation a function? Why.

a)

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

b)

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

c)

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

d)

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

3.

a)

Function

b)

Not a Function

4.

a)

Function

b)

Not a Function

5.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

6.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

7.

Is this table a function or not a function?

a)

Function

b)

Not a Function

8.

Is this table a function or not a function?

a)

Function

b)

Not a Function

9.

Is this table a function or not a function?

a)

Function

b)

Not a function

10.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

11.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

12.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

13.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

14.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

15.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

16.

What is the DOMAIN of this graph?

a)

-7<x<5

b)

-7≤x<5

c)

-3<x<1

d)

-3≤x<1

17.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

18.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

19.

a)

{1, 2, 3, 4, 5}

b)

{-1, 1, 2, 3}

c)

{1, 2, 3, 5}

d)

[1, 5]

20.

a)

{-7, -5, 2, 3, 7}

b)

{-7, 7}

c)

{1, 2, 3, 4, 5}

d)

{1, 5}

21.

a)

{-2, 3, 7}

b)

{-2, 3}

c)

{1, 2, 2, 3, 4}

d)

{1, 4}

22.

a)

A

b)

B

c)

C

d)

D

23.

Simplify
-3(2x - 5) + 4x

a)

-2x - 15

b)

2x -15

c)

2x + 15

d)

-2x + 15

24.

Which set of values is a function?

a)

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

b)

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

c)

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

d)

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

25.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

26.

a)

Function

b)

Not a Function

27.

-7 + 9

a)

2

b)

-2

c)

16

d)

-16

28.

I throw a ball 10 feet in the air. If the domain is the number of seconds, what is a possible domain for the function?

a)

All real numbers between 0 and 10

b)

Integers between 0 and 10

c)

Rational Numbers between 0 and 10

d)

Whole Numbers between 0 and 10

29.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D: {-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D: {0, 1, 2, 3, 4}
R:{1, -3, -4}

d)

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

30.

a number added to 19

a)

19 - n

b)

19 + n

c)

19/n

d)

19n

31.

the difference of a number and six

a)

x + 6

b)

x - 6

c)

6 - x

d)

x/6

32.

the quotient of a number and twelve

a)

x + 12

b)

x - 12

c)

12/x

d)

x/12

33.

twice a number plus six

a)

2x + 6

b)

2x - 6

c)

2x / 6

d)

2x (6)

34.

Translate this phrase into an algebraic expression.

The difference of 3 times a number and 7

Use the variable n to represent the unknown number.

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

35.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

4m + 8

b)

8m - 4

c)

8m + 4

d)

4m - 8

36.

Translate this phrase into an algebraic expression.

2 times the sum of a number and 15

Use the variable b to represent the unknown number.

a)

2(b+15)

b)

2b + 15

c)

2b × 15

d)

2 × 15b

37.

If m represents the amount of money Zoe had, which expression represents how she spent $28?

a)

$m\ -\ 28$

b)

$m\ +\ 28$

c)

$28m$

d)

$\frac{m}{28}$

38.

If g represents Edna’s grade, which expression shows that she earned 5 points extra credit?

a)

$g\ +\ 5$

b)

$g\ -\ 5$

c)

$5g$

d)

$\frac{g}{5}$

39.

The basketball team bought 18 matching T-shirts to split among its members. Each member of the team will get t T-shirts. Choose the expression that shows how many people are on the basketball team.

a)

$\frac{18}{t}$

b)

18t

c)

18 + t

d)

$18\ -\ t$

40.

6 fewer than twice t

a)

6-2t

b)

2t-6

c)

2(t-6)

d)

t-2⋅6

41.

Write an expression for the following: four more than the product of 8 and a number

a)

4-8n

b)

n/8 + 4

c)

(n-8) + 4

d)

8n + 4

e)

4>8n

42.

the product of x and sixteen

a)

x + 16

b)

x - 16

c)

16x

d)

x/16

43.

Mike is 6 years younger than Iris. What expression can be used to find Mike’s age?

a)

6 + a

b)

6 - a

c)

a - 6

d)

6a

44.

Pat worked 4 hours on Monday and 3 hours on Friday.
If he earned the same hourly rate each day, which expression best represents the situation?

a)

7x

b)

4x + 3x

c)

4 + 3x

d)

3 + 4

45.

Six more than some number equals 52

a)

6 + x = 52

b)

6 + 52 = x

c)

6x = 52

d)

6x + 52 =

46.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

47.

Translate this phrase into an algebraic expression.
the quotient of 4 and a number increased by 10.

a)

4 - n + 10

b)

4n - 10

c)

4/(n + 10)

d)

4 / n + 10

48.

Translate this phrase into an algebraic expression.
14 subtracted from the quantity 6 times k

a)

6 - 14k

b)

6k - 14

c)

14k - 6

d)

14 - 6k

49.

Translate this phrase into an algebraic expression.
2 times the difference of t and 11

a)

2t - 11

b)

2(t - 11)

c)

2(t / 11)

d)

2 x t - 11

50.

Translate this phrase into an algebraic expression.
4 divided by the sum of a number and 12

a)

4 / n + 12

b)

4 / 12n

c)

4 / (n + 12)

d)

(4 / n) + 12

51.

Translate this phrase into an algebraic expression.
The quotient of four and a number increased by ten.

a)

4 - n + 10

b)

4n - 10

c)

4/(n + 10)

d)

4 / n + 10

52.

Which algebraic expression represents
"six less than a number"?

a)

6/k

b)

k/6

c)

6 - k

d)

k - 6

53.

Ten decreased by four times a number.

a)

10 - 4x

b)

4x - 10

c)

10 - x

d)

10/4x

54.

Seven less than the difference of five times a number and two.

a)

7 - (5x - 2)

b)

(x - 2) - 7

c)

5(x - 2) - 7

d)

(5x - 2) - 7

55.

Translate this phrase into an algebraic expression.
Eight less than the product of four and a number.
Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

56.

What word phrase can you use to represent "5x + 2"?

a)

five times the sum of a number x and two

b)

two times the sum of a number x and five

c)

a number x times the sum of five and two

d)

the sum of five times a number x and two

57.

Mike is 6 years younger than Iris. What expression can be used to find Mike’s age?

a)

6 + a

b)

6 - a

c)

a - 6

d)

6a

58.

Write a verbal expression for:
2a+6

a)

6 more than the twice a number

b)

6 less than the product of 2 times a

c)

6 more than the quotient of 2 and a

d)

twice the sum of a and 6

59.

What word phrase can you use to represent "5x + 2"?

a)

five times the sum of a number x and two

b)

two times the sum of a number x and five

c)

a number x times the sum of five and two

d)

the sum of five times a number x and two

60.

Write a verbal expression for:
2a+6

a)

6 more than the twice a number

b)

6 less than the product of 2 times a

c)

6 more than the quotient of 2 and a

d)

twice the sum of a and 6

61.

Which of the following is a division word?

a)

Quotient

b)

Shared

c)

Ratio

d)

All of the above

62.

r + 10 Choose two

a)

a number, r, increased by 10

b)

r and ten more

c)

r minus 10

d)

the difference of r and 10

63.

2f - 4

a)

f minus 4

b)

4 minus f

c)

minus 4

d)

four less than twice a number, f

64.

Write a verbal expression for:
2a+6

a)

6 more than the twice a number

b)

6 less than the product of 2 times a

c)

6 more than the quotient of 2 and a

d)

twice the sum of a and 6

65.

r + 10 Choose two

a)

a number, r, increased by 10

b)

r and ten more

c)

r minus 10

d)

the difference of r and 10

66.

3y³/7

a)

three times a number

b)

three times a number, y, cubed divided by 7

c)

y cubed

d)

seven

67.

Write a word phrase to represent the following algebraic expression:

9n+1

a)

the quotient of 9 and a number plus 1

b)

the product of 9 and a number plus 1

c)

1 more than the quotient of 9 and a number

d)

1 more than the product of 9 and a number

68.

Write a word phrase to represent the following algebraic expression:

$12x$

a)

the product of a number and 12

b)

the product of 12 and a number

c)

12 times a number

d)

a number times 12

69.

Match the following:

a)

Division

1.

Quotient

b)

Addition

2.

Sum

c)

Multiplication

3.

Product

d)

Subtraction

4.

Difference

70.

Translate: 10 less than twice a number

Let n = a number

a)

2n-10

b)

10(2n)

c)

10-2n

d)

n-10

Reset

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