Hanger Diagrams
Tape Diagrams
Solving Equations
Equivalent Expressions
Exponents
100
Write an equation representing this hanger.
What is 40 = 5q?
100
Write an equation representing this tape diagram.
What is w + 10 = 30?
100
Select all the equations where x = 4 is a solution.
A. 8 - x = 12
B. 7 = x + 3
C. x - 2 = 2
D. 3x = 12
E. 16x = 4
What are B, C, and D?
100
Are the expressions b+b+b+b and 4b equivalent expressions? Explain why or why not.
Yes, because they are equal for all values of b? Repeated addition can be represented as multiplication.
100
Write the expression 5 · 5 · 5 · 5 using an exponent.
What is 54?
200
Find the value of q. Show or explain how you found it.
What is q=8 because 40 divided by 5 equals 8?
200
Find the value of w. Show or explain how you found it.
What is w = 20 because 30 - 10 = 20?
200
Solve the equation. SHOW YOUR ALGEBRA STEPS.
m - 12 = 5
What is m = 17?
200
Are the expressions 5a and a + 5 equivalent expressions? Explain why or why not.
No, because they are not always equal? For example, if x = 2, we can see 5⋅2 does not equal 2+5.
200
Write the expression 4 · 4 · 4 · 4 · 4 using an exponent.
What is 45?
300
Write an equation representing this hanger.
What is 6 = f + 4?
300
Write an equation representing this tape diagram.
What is 5a = 15?
300
Solve the equation. SHOW YOUR ALGEBRA STEPS.
5g = 10.5
What is g = 2.1?
300
Fill in the blanks to create an expression that represents the total area as the product of the rectangle’s length and width.
Area = _________ ( _________ + _________ )
What is 4(3+a)?
300
Here is an expression: 5 · 3t
Find the value of the expression when t is 2. Show your substitution
What is 45 because 5 · 32 equals 5 · 9?
400
Find the value of f. Show or explain how you found it.
What is f = 2 because 6 - 4 = 2?
400
Find the value of a. Show or explain how you found it.
What is a = 3 because 15 ÷ 5 = 3?
400
Solve the equation. SHOW YOUR ALGEBRA STEPS.
3/5+x=7/5
What is
x=4/5?
400
Write an expression that represents the total area as the sum of the areas of the two smaller rectangles.
Area = _________ + _________
What is 12+4a?
400
Here is an expression: 4 · 2t
Find the value of the expression when t is 3. Show your substitution
What is 32 because 4 · 23 equals 4 · 8?
500
Draw a hanger diagram for the equation 20 = 5j. Find the value of j.
What is j = 4?
500
Camila donated 6 fewer cans than Adriana for the school food drive. If Adriana donated 34 cans, how many cans did Camila donate? Draw a tape diagram to represent the situation and find the solution.
What is 28 cans?
500
Solve the equation. SHOW YOUR ALGEBRA STEPS.
2/3x=10
What is
x=15?
500
Fill in the blanks.
Area = _________ ( _________ + _________ )
Area = _________ + _________
What is 7(2+u) and 14+7u?
500
Here is an expression: 5 + 5t
Find the value of the expression when t is 3. Show your substitution
What is 130 because 5 + 53 equals 5 + 125?