Free Printable Chapter 1 Foundations for Algebra

1.

Evaluate the expression for the given value of the variable.
15 + x when x = 5

a)

18

b)

20

c)

200

d)

15

2.

Evaluate the expression 7x when x =2

a)

72

b)

14

c)

9

d)

27

3.

Evaluate the expression when x = 3
$18\div x$

a)

2

b)

4

c)

5

d)

6

4.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

5.

Evaluate 5x - 2y when x = 2 and y = 3.

a)

2

b)

3

c)

4

d)

5

6.

What step would I do second ? (4 - 2) x 9 + 7 =

a)

multiplication

b)

subtraction

c)

addition

d)

dividing

7.

Simplify the following:
-8 + (15 - 3) ÷ 4

a)

-5

b)

1

c)

-11

d)

11

8.

What does 4⁵ mean?

a)

4x4x4x4x4

b)

4x5

c)

5x5x5x5

9.

$3\cdot48\div(15-3)$ What would you solve first?

a)

3 x 48

b)

48 / 15

c)

15 - 3

d)

48-12

10.

$Simplify\ \ 23+\left(30\div10\right)\cdot4$ .

a)

35

b)

32

c)

12

d)

45

11.

What is the PERIMETER of this rectangle?

a)

22 sq. yd.

b)

22

c)

22 cm

d)

22 yd.

12.

Find the PERIMETER of this figure.

a)

20 square feet

b)

20 cm

c)

25 square feet

d)

20 cm sq.

13.

k cubed

a)

k⁴

b)

k²

c)

k³

d)

k

14.

$x\cdot x\cdot x\cdot x$

a)

4x

b)

3x

c)

x⁴

d)

x³

15.

m⁵

a)

m five

b)

five m

c)

five raised to the m power

d)

m raised to the fifth power

16.

the difference of 3 times a number and 7

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

17.

w increased by 5

a)

w - 5

b)

5w

c)

w + 5

d)

w / 5

18.

2⁴- 24 ÷ 3 + 1

a)

-12

b)

9

c)

4

d)

1

19.

What is an algebraic expression for this word phrase?
4 more than twice a number x

a)

4 + 2x

b)

2(x + 4)

c)

4(2x)

20.

What is an algebraic expression for this word phrase?
the product of 9 and the sum of a number x and 2

a)

9(x + 2)

b)

9x + 2

21.

The table shows how the cost of renting a scooter depends on how long the scooter is rented. What is a rule for the total cost? Give the rule in words and as an algebraic expression.
Hours Cost
1 $17.50
2 $25.00
3 $32.50
4 $40.00
5 $47.50

a)

Multiply the number of hours by 7.5 and add 10; 7.5n + 10

b)

Multiply the number of hours by 10 and add 7.5; 10n + 7.5

22.

What is the simplified form of this expression?
(0.2)⁴

a)

0.8

b)

0.16

c)

0.0008

d)

0.0016

23.

What is the value of this expression when
x = 3 and y = 4
x² + 2x + 16 ÷ y²

a)

16

b)

31/16

24.

Which property is illustrated by this statement?

31 ⋅ 0 = 0

a)

Zero Property of Multiplication

b)

Associative Property of Addition

c)

Associative Property of Multiplication

d)

Identity Property of Addition

25.

Raymond spends 1∕10 of his budget on a car rental. Write an expression for how much he has to spend on the rest of his vacation. If he budgets $650 for the vacation, how much will he have left to spend?

a)

(9/10)⋅b, $585

b)

(1/10)⋅b, $65

c)

(9/10) ⋅b, $65

d)

(1/10) ⋅b, $585

26.

Which property is illustrated by this statement?
5x + 0 = 5x

a)

Zero Property of Multiplication

b)

Associative Property of Addition

c)

Associative Property of Multiplication

d)

Identity Property of Addition

27.

Which property is illustrated by this statement?
(x + 3) + 6 = x + (3 + 6)

a)

Zero Property of Multiplication

b)

Associative Property of Addition

c)

Associative Property of Multiplication

d)

Identity Property of Addition

28.

A movie ticket costs $6.75. A drink costs $1.90. Popcorn costs $2.25. What is the total cost for a trip to the movies? Use what you know about the properties to answer quickly.

a)

$10.80

b)

$10.90

c)

$11.00

d)

$11.10

29.

What is the simplified form of this expression?
4(8n)

a)

12n

b)

32n

30.

What is the simplified form of this expression?
(3 + 5b) + 7

a)

8b + 7

b)

10 + 5b

31.

What is an algebraic expression for this word phrase?
The quotient of a number and seven

a)

5n

b)

5 + n

c)

n - 7

d)

n/7

32.

What is an algebraic expression for this word phrase?
4 more than twice a number x

a)

4 + 2x

b)

2(x + 4)

c)

4(2x)

33.

50 / x

a)

the ratio of a number to fifty

b)

the quotient of fifty and a number

c)

a number divided by fifty

d)

the product of fifty and a number

34.

If b = 4 and c = 5, what is the value of bc + b - c?

a)

20

b)

16

c)

18

d)

19

35.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

36.

Solve the equation.
|m| + 2 = 11

a)

m = -9

b)

m = 9

c)

m = -13, 9

d)

m = 9, -9

37.

4z - z

a)

4

b)

3z

c)

z - 3

d)

z + 3

38.

5x - 2x - 2

a)

2 - 3x

b)

7x + 2

c)

3x - 2

d)

3x + 2

39.

-3(2c - 5)

a)

-6c - 15

b)

6c + 15

c)

-6c - 5

d)

-6c + 15

40.

The number 5 is which of the following?

a)

N, W, I

b)

N, W, Z, Q, R

c)

N, W, Z, R

d)

I, R

41.

The number 100 is a perfect square.

a)

True

b)

False

42.

A number can be rational and irrational.

a)

True

b)

False

43.

What is an example of an integer?

a)

-9

b)

0.567

c)

1/2

d)

-0.957643...

44.

The number 90 is a perfect square.

a)

True

b)

False

45.

Order from least to greatest
1/6, -0.35, -1/4

a)

1/6, -0.35, -1/4

b)

-1/4, -0.35, 1/6

c)

-0.35, -1/4, 1/6

d)

1/6, -1/4, -0.35

46.

a letter that represents a number is called a(n)

a)

variable

b)

algebraic expression

c)

monomial

d)

scientific notation

47.

Which equation generates a graph containing
the set of ordered pairs shown below?
{(−15, 12), (−5, 8), (5, 4), (10, 2)}

a)

y = -3/5 x + 3

b)

y = -2/5 x + 6

c)

y = -1/5 x + 9

d)

y = -4/5 x

48.

Which situation is best represented by the
function f(x), where f(x) = 12x + 5?

a)

An office-supply store sells x boxes of
ballpoint pens that contain a dozen pens
per box for $5 each.

b)

An Olympic swimmer trains by
swimming 12 kilometers on each of x
weekdays and 5 kilometers on each day
of the weekend.

c)

An algebra quiz has x problems worth
12 points each plus 5 extra-credit
problems worth 5 points each.

d)

A company sells x baseball caps for $12
each and charges a $5 shipping fee.

49.

What is 257.483 rounded to 2 decimal places?

a)

257.5

b)

257.49

c)

257.48

d)

257.50

50.

Order the decimals from smallest to largest - which is correct?

a)

0.3, 0.17, 0.25, 0.165

b)

0.165, 0.17, 0.25, 0.3

c)

0.17, 0.25, 0.3, 0.165

d)

0.165, 0.3, 0.17, 0.25

51.

$Theformula\ for\ the\ area\ of\ a\ circle\ is\ A=\pi r^2$
What is the area if r = 4? Leave your answer in terms of π.

a)

A = 8π

b)

A = 6π

c)

A = 16 π

d)

A = 4π

52.

Which one(s) of the following are solutions to 3x - 4 = y?

a)

(1, -1)

b)

(0, 4)

c)

(0, -4)

d)

(6, 0)

53.

If y = 100x - 43, between which pair of integers would the solution be found if y = 575?

a)

Between 3 & 4

b)

Between 4 & 5

c)

Between 5 & 6

d)

Between 6 & 7

54.

If you are making a recipe and want to mix milk, eggs, and sugar---does it matter which goes in first? Which property justifies this? Answer yes/no and property.

a)

no

b)

yes

c)

Commutative

d)

Associative

55.

If the area of a square garden is 196 square feet, what is the length of one side of the garden? Use the correct unit of measure.

a)

14 ft

b)

14 ft²

c)

88 ft

d)

88 ft²

Chapter 1 Foundations for Algebra

Total questions: 55

Worksheet time: 1hrs 22mins

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