Unit 6

Solving Equations

100

Solve the following equation:

x-27=88

x=115

200

Solve the following equation:

1/3x=96

x=288

300

Select all equations where x=6 is a solution. 

a) 2x=12

b) x+9=15

c) 15-6=x

d) 6x=12

a) 2x=12

b) x+9=15

400

Solve the following equation:

3x=48

x=16

500

Select all the equations where x=2 is a solution. 

a) x-2=3

b) 1+x=3

c) 2+x=4

d) 

x^2=8

e) 

1/2x=1

f) 

4 divide 1/2 =x

b) 1+x=3

c) 2+x=4

e) 

1/2x=1

Area of Rectangle

100

What is the area equation for a rectangle?

Area = base  *  height

200

Write an expression for the total area of the rectangle

1/3(6+x)

1/3*6+1/3*x

2+1/3*x

300

Write an expression that represents the total area of the rectangle

m(6+8)

m*6+m*8

m*14

400

Write an expression that represents the total area of the rectangle

6(p+p+p+p)

6(4p)

6p+6p+6p+6p

500

Write an expression that can represent the total area of the rectangle

a(2+3+4)

a*2+a*3+a*4

Equivalent Expressions

100

Which of the following expressions are equivalent to 5(6x+7y)?

11x+12y

30x+35y

6x+6x+6x+6x+6x+7y+7y+7y+7y+7y

30x+35y

6x+6x+6x+6x+6x+7y+7y+7y+7y+7y

200

Write an expression equivalent to x+x+x+x+x that is the product of a coefficient and a variable. 

5*x

5x

300

Select all the expressions that are equivalent to 4b

a) b+b+b+b

b) b+4

c) 2b+2b

d)

b*b*b*b

e) 

bdivide 1/4

a) b+b+b+b

c) 2b+2b

e)

b divide 1/4

400

Which expression is equivalent to 14x+28y ?

a) 2(7x+19y)

b) 14(x+y)

c) 2(7x+14y)

d) 14(x+2y)

c) 2(7x+14y)

d) 14(x+2y)

500

Write two equivalent expressions for 

x+x+x+x+x+x+2+2

6x+4

2(3x+2)

6*x+2*2

Percents/Fractions

100

Write an equation that shows the relationship of 60% of 180 is x. 

60/100*180=x

200

2/5 of the students in an elementary school are in 4th grade. 

How many students are in the school if there are 250 students in 4th grade?

Write an expression or equation and solve. 

2/5*x=250

x=625

300

Write an equation that shows the relationship 40% of x is 50. 

40/100*x=50

400

5/8 of the students in 6th grade are part of band. 

How many students are in band if there are 120 students in 6th grade?

Write an expression or equation and solve. 

5/8*120=x

x=75

500

40% of x is 20. Write an equation and then find the value of x. 

Equation: 

40/100x=20

Solution: 

x=50

Exponents

100

Is the following statement written in expanded or exponential form?

2*2*2*2*2*2

Expanded form

200

Expand: 2⁴

2*2*2*2

300

Write the expanded form of 5^4 then solve. 

5*5*5*5

=625

400

Write the following in exponential form. 

8*8*8*8*8*8

8^6

500

Write the exponential form of

4*4*4*4*4

 and solve

4^5

=1,024