Algebraic Expressions

Algebraic Expressions (Review)

We will recap how to write and translate word problem into an algraic expressions, simplify and evaluate an expression.

Multiple Choice

Identify the variable in the expression 5y+7?

• x

• 5y

• y

• 7

Multiple Choice

Identify the coefficient in the expression.
6y + 7

• 6y
• 7
• 6
• 1

Multiple Choice

Identify the constant in the expression.
2y + x + 8 + 7p

• 7
• 2
• 1
• 8

Multiple Choice

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

• 6/k

• k/6

• 6 - k

• k - 6

Multiple Choice

Translate the following into an algebraic expression:

Ten decreased by four times a number.

• 10 - 4x

• 4x - 10

• 10 - x

• 10/4x

Multiple Choice

Translate this phrase into an algebraic expression:

8 less than the product of 4 and a number.

• 4m + 8

• 8m - 4

• 8m + 4

• 4m - 8

Multiple Choice

Translate this phrase into an algebraic expression:

2 times the sum of t and 11

• 2t + 11

• 2(t + 11)

• 2(t / 11)

• 2t - 11

Multiple Choice

Simplify the following expression:

k + k + k + k + k =

• 3k
• 4k
• 5k
• 6k

Multiple Choice

Simplify the following expression:

r + r + r + 12 + 7 =

• r + 19
• 3r - 5
• 3r + 19
• 2r + 5

Multiple Choice

Simplify the following expression:

7s - 2s + 10=

• 15s
• 5s + 10
• 19s
• 9s + 10

Multiple Choice

Simplify the following expression:

19p - 6p + p=

• p
• 13p
• 26p
• 14p

Multiple Choice

Simplify the following expression:

4a + 9 + a

• 5a + 9
• 3a-9
• 3a + 9
• 5a - 9

Multiple Choice

Simplify the expression:

3x + 2x

• 5x
• x
• 6x
• 5

Multiple Choice

Simplify:

5x - 6x - 8x + 7 

• -9x + 7
• -9x -  7
• 9x + 7 
• 9x - 7

Multiple Choice

Find the algebraic expression of the perimeter of the triangle. (Hint: Add all the sides.)

• 9b + 8

• 33b + 8

• 33b - 8

• 9b - 8

To Evaluate an Expression

When evaluating an expression, substitute any given values of the variables into an expression. Then, simplify with the order of operations.

Multiple Choice

If g = 3 and h = 9, evaluate the following expression:

4h + 2g + 4

• 42

• 46

• 34

• 58

Multiple Choice

Evaluate the expression.

b - 7 when b = 16

• 9

• 23

• 16

• 0

Multiple Choice

Evaluate the expression.

28/m when m = 4

• 112

• 4

• 7

• 28

Multiple Choice

Evaluate 4x + 3 if x = 2

• 45

• 20

• 5

• 11

Multiple Choice

Evaluate 7y - 3y for y=2

• 40
• 73
• 8
• 4

Multiple Choice

Evaluate 2a + 4b 
if a = 10     and    b = 6

• 20
• 24
• 44
• 4

Multiple Choice

6a - 3b
when a = 1, b = 2

• 3
• 12
• 1
• 0

Multiple Choice

8y - 2z + 12
for y = 4 and z = 2

• 40
• 20
• 84
• 34

Multiple Choice

Evaluate when a = 15:
2(a - 5) + 2

• 22
• 27
• 14
• 7

Multiple Choice

Evaluate each expression if x = 14 and y = 6

(x + y) ÷ 2 = _______

• 10

• 20

• 22

• 40

Multiple Choice

Evaluate the expression for a = 3, b = 4, c = 6

5a + bc

• 99

• 39

• 63

• 87

Multiple Choice

The length of a rectangle is represented by (5x - 3) and the width is (x + 3). If x = 2, then which of the following values is the actual perimeter of this rectangle?

• 18

• 14

• 24

• 20