Algebraic Expressions

Question 1

What is an algebraic expression?

Answer 1

Mathematically meaningful sequence of symbols

Question 2

What are Exponents?

Answer 2

Many repeated multiplications like 2 x 2 = 2²

Question 3

What are the five rules of exponents?
Use a and b as the bases and m,n as the exponents.

Answer 3

Question 4

Write a variable expression for the phrase:
The product of 13 and a number p.

Answer 4

13p

Question 5

Write a variable expression for the phrase:
5 less than a number y

Answer 5

y-5

Question 6

Write each English phrase as an algebraic expression. Let x represent the number.
a) Seven more than a number
Answer:
b) Nine decreased by a number
Answer:
Answer(s) submitted

Answer 6

a) x+5
b) 9-x

Question 7

Determine whether the expressions are equivalent or not.

Answer 7

Not Equivalent
Equivalent
Equivalent
Not equivalent
Equivalent
Not Equivalent

Question 8

Four people have dinner together at a restaurant.
They pay equal portions of the cost, in dollars, of the dinner, d,
and the $10 tip.
Which expression represents the amount of money each person pays?

Answer 8

A

Question 9

Which of the following are equations and which are expressions?

Answer 9

1. Equation
2. Equation
3. Expression
4. Expression

Question 10

Evaluate:

Answer 10

13

Question 11

The expression:

Answer 11

Coefficient = 6
exponent = 6

Question 12

The expression

Answer 12

r = 5
s = 25
t = 1

Question 13

Evaluate

Answer 13

(x²)/(-3y⁴)

Question 14

Evaluate each of the following expressions if x = 5, y = 4, z = −4

Question 15

1. (4+5)² −(4² +5²) = .
2. (9+10)² −(9² +10²) =

Answer 15

1. 40
2. 180

Question 16

Simplify:

Answer 16

Question 17

Simplify:

Answer 17

Question 18

Simplify:

Answer 18

Question 19

What is distance?

Answer 19

Distance is how far apart two points are and is always non-negative.