Free Printable Unit 0 - Foundational Skills Review (Algebra 1A)

1.

Simplify 2(x + 1) + 5

a)

2x + 5

b)

2x + 6

c)

2x + 7

2.

4[3² + 3 ÷ 3] ÷ 2

a)

6

b)

8

c)

20

d)

12

3.

Simplify the Expression.
9z - 21 - 3z + 10

a)

Simplified

b)

9z - 21 - 7

c)

9z - 11 -3z

d)

6z - 11

4.

A number can be rational and irrational.

a)

True

b)

False

5.

What is an example of an irrational number?

a)

-2/3

b)

.75575557654..

c)

23

d)

0

6.

What is true about irrational numbers?

a)

They are terminating decimals.

b)

They are non-repeating decimals.

c)

They are fractions.

d)

They are natural numbers.

7.

1.01001000100001...

a)

Rational

b)

Irrational

8.

Is √2 Irrational?

a)

Yes

b)

No

9.

What is the opposite of $11$ ?

a)

$11$

b)

$-11$

10.

Write the integers in order from least to greatest: 2, -3, 0, -4

a)

$0,\ 2,\ -3,\ -4$

b)

$2,\ 0,\ -3,\ -4$

c)

$-4,\ -3,\ 0,\ 2$

11.

Order the numbers from least to greatest:
$-1.2,\ 2\ \frac{1}{5},\ \frac{5}{2},\ -\frac{3}{2}$

a)

$-\frac{3}{2},\ -1.2,\ 2\frac{1}{5},\ \frac{5}{2}$

b)

$-1.2,\ -\frac{3}{2},\ \ 2\frac{1}{5},\ \frac{5}{2}$

c)

$\frac{5}{2},\ 2\frac{1}{5},\ -1.2,\ -\frac{3}{2}\$

12.

Use $<,\ >,\ or\ =$ to compare.
$\frac{1}{4}$ _____ $0.06$

a)

$<$

b)

$>$

c)

$=$

13.

Use $<,\ >,\ or\ =$ to compare.

$-2.50$ ______ $-2\ \frac{3}{4}$

a)

$<$

b)

$>$

c)

$=$

14.

Click on the image - Write the number positioned at point A.

a)

$-4.25\$

b)

$-3.75$

c)

$4.25$

d)

$-4.5$

15.

-2 + 4

a)

-2

b)

2

c)

0

d)

-4

16.

3 + -7

a)

10

b)

4

c)

-10

d)

-4

17.

-14 + (-3)

a)

-17

b)

11

c)

-11

d)

17

18.

A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.

a)

-9 + (-22) = -13

b)

9 + (-22) = 13

c)

9 + (-22) = -13

d)

none

19.

-3 - 2

a)

-1

b)

-5

c)

1

d)

6

20.

19 - (-19)

a)

0

b)

36

c)

26

d)

38

21.

During the week Jimmy spent $45 eating out, gained $55 mowing lawns and spent $15 on gas. What was Jimmy's change in dollars at the end of the week?

a)

$5

b)

- $5

c)

- $15

d)

$15

22.

Apply the order of operations and choose the correct answer:
30 + (16/2)

a)

38

b)

23

c)

44

23.

Apply the order of operations and choose the correct answer:
40 - 8 + 4 x 2

a)

32

b)

40

c)

64

24.

Apply the order of operations and choose the correct answer:

\frac{48}{4\times2}\div2

a)

2

b)

3

c)

4

d)

6

25.

the difference of 3 times a number and 7

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

26.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

27.

5 less than the product of 7 and s

a)

7s - 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

28.

a number more than 12

a)

n + 12

b)

12n

c)

12 + n

d)

12 - n

29.

-r -10r

a)

11r

b)

-11r

c)

-9r

d)

-11

30.

n -10 +9n -3=

a)

-3

b)

9n-3

c)

n

d)

10n -13

31.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

32.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

33.

a + a + a + a

a)

a + 4

b)

4a

c)

a⁴

d)

4a + 4

34.

y + x + y + y + x

a)

2 + 3

b)

x + y

c)

2x + 3y

d)

5xy

35.

Which Property says that order doesn't matter in addition and multiplication?

a)

Commutative Property

b)

Associative Property

c)

Identity Property

d)

Property Brothers

36.

Which Property says that grouping is not important in addition or multiplication?

a)

Distributive Property

b)

Associative Property

c)

Commutative Property

d)

Identity Property

37.

Any number + zero = itself is which property?

a)

Associative Property of Addition

b)

Identity Property of Addition

c)

Commutative Property of Addition

d)

Identity Property of Multiplication

38.

Which Property says that any number x 1 = itself ?

a)

Identity Property of Addition

b)

Commutative Property of Addition

c)

Identity Property of Multiplication

d)

Commutative Property of Multiplication

39.

Which one shows an example of the associative property of multiplication?

a)

4+0=4

b)

4*1=4

c)

(4x3)x2=4x(3x2)

d)

4x3x2=2x4x3

40.

Name the Property
5(3+6) = (5*3) + (5*6)

a)

Distributive Property

b)

Commutative Property of Addition

c)

Commutative Property of Multiplication

d)

Addition Property of Zero

41.

Name the Property
(3*5) * 2 = 3 * (5*2)

a)

Associative Property of Addition

b)

Distributive Property

c)

Commutative Property of Multiplication

d)

Associative Property of Multiplication

42.

Which property is this example?
5 x 6 = 6 x 5

a)

Commutative property of multiplication

b)

Associative Property of multiplication

c)

Distributive property of multiplication

d)

Identity property of multiplication

43.

Name the Property
3 * (2+5) = (3*2) + (3*5)

a)

Distributive Property

b)

Multiplication Property of Zero

c)

Commutative Property of Multiplication

d)

Associative Property of Multiplication

44.

Find the inequality that matches the sentence

7 is greater than x

a)

7 > x

b)

7 < x

c)

7 = x

d)

$7\ge x$

45.

Match the correct inequality to the sentence below

-9 is less than or equal to x

a)

$9<x$

b)

$-9\ge x$

c)

$-9\le x$

d)

$9>x$

46.

Match the inequality to the sentence below.

The sum of 7 and x is less than or equal to -20

a)

$7x\le-20$

b)

$7-x\le-20$

c)

$7\ +\ x\le-20$

d)

$7\ +\ x\ =\ -20$

47.

Match the sentence below to the correct inequality.

Eight subtracted from t is greater than 29

a)

$8\ -\ t\ >29$

b)

$t\ -\ 8\ >29$

c)

$8\ -\ t\ \le29$

d)

$t\ -\ 8\ \ge29$

48.

Match the sentence to the correct inequality.

The product of -6 and x is greater than or equal to 24

a)

$\frac{-6}{x}\ge24$

b)

$-6\ +\ x\ \ge24$

c)

$24\ge-6x$

d)

$-6x\ge24$

49.

Match the sentence to the correct inequality

Two times the sum of a number and 28 is at least 21

a)

$2\left(x\ +\ 28\right)\ \ge21$

b)

$2x\ +\ 28\ \ge21$

c)

2x + 28 $>$ 21

d)

2 ( x + 28) < 21

50.

Classify the number: 3

a)

natural, whole, integer, rational, real

b)

whole, integer, rational, real

c)

natural, whole, integer, irrational, real

d)

natural, whole, integer, rational

Unit 0 - Foundational Skills Review (Algebra 1A)

Total questions: 50

Worksheet time: 36mins

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