Writing Algebraic Expressions
Write the expression using exponents.
5 * a *a * a * a * a
5a5
Rewrite an expression using the Identity Property of Addition.
Many options. Here is one sample:
12+0 = 12
Use the Distributive Property to simplify the expression.
9(2n + 1 - 4m)
18n+9-36m
Factor the expression using the GCF.
2x+10
2(x+5)
4(3-1)3 + 7(6) - 52
49
4(3-1)3 + 7(6) - 52
4(2)3 + 7(6) - 52
4(8) + 7(6) -25
32 + 42 - 25
49
Name the number of terms, the coefficients, and the constants in the expression.
6 + n2 - 8n + 4x - 13
Terms: 4
Coefficients: 1, 8, 4
Constants: 6, 13
Rewrite this expression using the Commutative Property.
3 + a + ab + 3b
Many options, you need to move the terms around to be correct.
Simplify using the Distributive Property.
3x(4y - 7)
3x(4y - 7)
12xy - 21x
Which of the following are factors of 2x2?
2, 4x, x, x2, 2x5
Factors:
2, x, x2
What is the Greatest Common Factor and Least Common Multiple of 12, 18, 30
GCF = 6
LCM = 180
2 + a - (c/b)
Evaluate the expression when a = 4, b = 5, c = 20
2 + 4 - 20/5
2 + 4 - 4
2
Rewrite this expression using the Associative Property.
(a+2)+(3a+4)
a+(2+3)a+4
(a+2+3a)+4
a+(2+3a+4)
Simplify the expression.
4x+9y+3(x+y)
4x+9y+3(x+y)
4x+9y+3x+3y
4x+3x+9y+3y
7x+12y
Factor the expression using the GCF.
55+40+10
5(11+8+2)
Order the numbers from least to greatest.
130% 1.32 6/5 5/4 1.28
6/5 5/4 1.28 130% 1.32
(1.2 1.25 1.28 1.3 1.32)
Write the phrase as an expression. Then evaluate the expression when x=5.
The sum of a number x and 4, all divided by 3
(x + 4)/3
(5+4)/3
9/3
3
The expression 12+x+4 represents the perimeter of a triangle. Simplify the expression.
16 + x
Solve:
3 - 2(x + 3 - 5x)
3 - 2(x + 3 - 5x)
3 - 2x - 6 + 10x
3 - 6 -2x + 10x
-3 + 8x
Factor the expression using the GCF.
-16y - 24
-16y - 24
-8(2y + 3)
You spend 2 1/2 hours online. You spend 1/5 of that time writing a blog. How long do you spend writing your blog?
A half hour or 30 minutes.
After m months, the height of a plant is (10 + 3m) millimeters. How tall is the plant after 8 months? 3 years?
After 8 months = 34
After 2 years = 82
State which properties are illustrated by the following equalities.
1) c+2 = 2+c
2) 2+(12+a) = (2+12)+a
3) b + 0 = b
1) Commutative Property
2) Associative Property
3) Identity Property of Addition
You are given the difference of the numbers of boys and girls in a class and the ratio of boys to girls. How many boys and how many girls are in the class?
3 more boys; 5 for every 4
15:12
Factor the expression using the GCF.
21y+42x+70x2
7(3y+6x+10x2)
A cyclist travels 4 miles in 20 minutes. At this rate, how many miles does the cyclist travel in 30 minutes?
6 miles