Free Printable Basics of Algebra 1.1 Alg 2

1.

Work out the value of the expression when x = 3, y = – 2 and z = – 4.
2x² + z²

a)

2

b)

27

c)

50

d)

34

2.

Work out the value of the expression when x = 3, y = – 2 and z = – 4.

a)

1

b)

-1

c)

1/5

d)

-6

3.

Work out the value of the expression when a = 3, b = 4 and c = 5.

a)

3

b)

1 1/3

c)

4

d)

1/3

4.

Simplify
$5-7s-9d$
When s = 4 and d = 3

a)

-50

b)

6

c)

4

d)

-55

5.

$if\ a\ =\ 5,\ then\ a^2+4\ =$

a)

5

b)

-5

c)

21

d)

29

6.

Combine Like Terms $-5x+3y-8x+2-9y$

a)

$-13x-6y+2$

b)

$3x+12y+2$

c)

$-3x+6y+2$

d)

$5x\left(15y\ +2\right)$

7.

Combine Like Terms $\frac{2}{3}g^2+3g-\frac{3}{5}g^2-\frac{2}{3}g$

a)

$\frac{1}{15}g^2+2\ \frac{1}{3}g$

b)

$\frac{1}{15}g^2-\frac{7}{3}g$

c)

$2\ \frac{1}{3}g-\frac{1}{15}g^2$

d)

$-\frac{1}{15}g^2+2\ \frac{1}{3}g$

8.

Simplify the following expression:
-6x + 4(-x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

9.

Simplify the following expression:
19 - ( 3 - 5b)

a)

16 + 5b

b)

21 + 5b

c)

16 - 5b

d)

21 - 5b

10.

a)

-x+20y

b)

3x-6y

c)

5x-20y

d)

-x-20y

11.

Evaluate the following expression 15x - 20 when x = 10

a)

130

b)

1480

12.

Simplify: 6x + 12x + 3 y

a)

21x

b)

18x + 3y

c)

72x + 3y

d)

6x + 15y

13.

Simplify:
-8n - 7(n+5)

a)

-15n - 35

b)

-1n -35

c)

-15n +35

d)

n +5

14.

Choose ALL expressions equivalent to $4\left(-2x+3\right)$

a)

$-8x+3$

b)

$-2x+12$

c)

$-8x+12$

d)

$-2\left(-6+4x\right)$

e)

$-12+8x$

15.

Choose ALL expressions equivalent to $4\left(-2x+3\right)$

a)

$-8x+3$

b)

$-2x+12$

c)

$-8x+12$

d)

$-2\left(-6+4x\right)$

e)

$-12+8x$

16.

Which words could be used to describe the following expression? 6h

a)

addition

b)

subtraction

c)

multiplication

d)

division

17.

Ten decreased by four times a number.

a)

10 - 4x

b)

4x - 10

c)

10 - x

d)

10/4x

18.

A _____________ is a symbol, usually a letter that stands for a number.

a)

coefficient

b)

algebraic expression

c)

variable

d)

term

19.

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

20.

Evaluate 2r + 1

if r = 3

a)

24

b)

5

c)

7

d)

8

21.

Evaluate $\frac{x\ -\ 4}{4c}$ for x = 20 and c = 2

a)

2

b)

5

c)

3

d)

4

22.

When solving (evaluating) expressions, substitute the given value for each variable and then use the order of operations.

a)

True

b)

False

23.

The product of m and 23 is shown in which expressions!!! CHECK ALL THAT APPLY!!!

a)

m⋅23

b)

23+ m

c)

23 x m (multiplication symbol)

d)

23m

24.

Abby and Neal both collect baseball cards. Abby has 10 fewer baseball cards than Neal. Let "n" represent the number of baseball cards Neal has. Which expression represents the number of baseball cards John has.

a)

$n\div10$

b)

$n+10$

c)

$n-10$

d)

$x\cdot10$

25.

Using the steps shown, Heather tried to simplify this expression. What was her first mistake?

a)

Step 1

b)

Step 2

c)

Step 3

d)

Step 4

26.

How should parentheses be placed in this expression to represent a value of 82?

a)

(7 x 8) + 4 - 2

b)

(7 x 8) + (4 - 2)

c)

7 x (8 + 4) - 2

d)

7 x 8 + (4 - 2)

27.

Which expression has a value of 27?

a)

$1+4+9\times2$

b)

$1+4+\left(9\times2\right)$

c)

$1+\left(4+9\right)\times2$

d)

$\left(1+4+9\right)\times2$

28.

Fred catches 25 fish. Then he releases 10 fish and catches 8 more.

a)

$3\times\left(15-6\right)$

b)

$15-6$

c)

$25-\left(10+8\right)$

d)

$\left(25-10\right)+8$

29.

Nick has 25 pens. He gives 10 pens to one friend and 8 pens to another friend.

a)

$3\times\left(15-6\right)$

b)

$15-6$

c)

$25-\left(10+8\right)$

d)

$\left(25-10\right)+8$

30.

Evaluate 8a - b if a = 10 and b = 6

a)

74

b)

38

c)

1000

d)

9000

31.

Evaluate m² + 12q if m = 5 and q = -3

a)

10

b)

-25

c)

-11

d)

13

32.

Evaluate the following expression:
-3x² - 5x + 7 when x = -2

a)

5

b)

10

c)

12

d)

7

33.

Evaluate 4n - n² for n = -3.

a)

-21

b)

-3

c)

8

d)

-7

34.

Let t = 3 and u = -5. Evaluate 3t - u².

a)

-19

b)

31

c)

34

d)

-16

35.

Simplify: x²⋅ x⁵

a)

x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x

b)

x⁷

c)

x¹⁰

d)

x ⋅ x

36.

Evaluate the expression.

a)

10

b)

8

c)

11

d)

9

37.

Evaluate the expression.

a)

2

b)

3

c)

9

d)

4

38.

Evaluate the expression.

a)

0

b)

7

c)

6

d)

1

Basics of Algebra 1.1 Alg 2

Total questions: 38

Worksheet time: 1hrs 3mins

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