Unit 5 Review: Expressions and Equations

Equivalent Expressions

200

Rewrite the expression 8(2+7n-3n) as a sum.

16+32n

300

Which expression is equivalent to 42+14?

A. 6(42+8)

B. 7(6+2)

C. 42(1+14)

D. 8(34+6)

B

400

Use the distributive property to write 2 different expressions equal to 36. Each expression should be the product of a number and a sum. 

(3 minutes)

Possible answers: 

2(9+9)

3(8+4)

4(2+7)

6(5+1)

500

A cellphone plan costs $5 for the first month and $7 for each additional month. The expression 5+7(m-1) represents the cost of the cellphone plan in dollars, where m represents the number of months paid for. Rewrite this expression as a sum of 2 terms. Show your work. 

(3 minutes)

7m-2

Solve 1-Variable Equations

200

Solve:

7f=84

f=12

300

Solve:

d+10-2=23

d=15

400

Which value in the set {4, 7, 9, 24} is a solution of the equation 7y=63?

9

500

Ms. Hauman writes 3z=39 and {12, 13, 14} on the board. Tell if each value in the set is a solution of the equation. 

13 is a solution. 12 and 14 are not solutions. 

Write 2-Variable Equations

200

There are always 15 more students in a class than the number of teachers. Write an equation to show the number of students for any number of teachers. 

Let n=number of teachers

Let p=number of students

p=n+15

300

A plane ticket costs 100 dollars. Each bag you bring costs 20 dollars. Write an equation to find the total cost of one person's trip with any number of bags. 

Let x=number of bags

Let t=total cost in dollars

t=100+20x

400

One quarter has a mass of 5.2 grams. Each roll of quarters contains 46 quarters. Write an equation with two variables that can be used to determine the total mass in grams of the quarters in any number of rolls of quarters. 

Let x=number of rolls

Let y=total mass

y=5.2(46)x

500

Pete collects donations for an animal shelter. At the end of January, he has $320.10 in donations. In February, he collects donations of $10.40 each. At the end of February, he has $464.80 in donations. Write an equation with a variable (x) to find the number of donations Pete collects in February. 

464.80-320.10=10.40x

Definitions

200

A statement of two expressions that are equal to each other. 

Equation

300

A number whose value changes or is unknown, usually represented by a letter. 

Variable

400

A value that can be substituted for a variable to make an equation true. 

Solution of an equation

500

A number in front of a variable that shows multiplication of the variable. 

Coefficient