Linear Equations Review

Stephanie adds pennies, nickels and quarters to a scale until the mass of the combined coins is 75 grams. Each penny has a mass of 2.5 grams, each nickel has a mass of 5 grams and each quarter has a mass of 5.7 grams.

Create an equation to model this situation, where x is the number of pennies, y is the number of nickels and z is the number of quarters that Stephanie can put on the scale so that the combined mass of the coins is exactly 75 grams.

• x + y + z = 75

• 2.5x + 5y + 5.7z = 75

• 2.5 + 5 + 5.7 = 75

• 2.5 + 5 + 5.7 = x + y + z

Trent plants a sunflower that is 6 inches tall. The sunflower is expected to grow at an average rate of 1.5 inches per day during the next month.

Create an equation that Trent can use to find the number of days, x, it will take the sunflower to grow to a height of 45 inches.

• 6 + 1.5x

• 6x + 1.5 = 45

• 6x + 1.5x = 45

• 6 + 1.5x = 45

Tags

CCSS.HSA.CED.A.3

Solve 6 + 1.5x = 45

• x = 45

• x = 26

• x = 34

• x = 24

Tags

CCSS.7.EE.B.4A

Translate the following sentence into an equation.
The quotient of 24 and x equals 14 less than 2 times x.

• 24x = 14 - 2x

• 24x = 2x - 14

•  $\frac{24}{x}=14-2x$  

•  $\frac{24}{x}=2x-14$  

Tags

CCSS.HSA.CED.A.1

Solve $-4=8+k$  

• k = -12

• k = 4

• k = -32

• k = -0.5

Tags

CCSS.6.EE.B.7

Solve  $-\frac{3}{4}y=\frac{8}{20}$  

• y = -8

• y = -15

•  $y=-\frac{8}{15}$  

•  $y=-\frac{3}{10}$  

Tags

CCSS.6.EE.B.7

Solve $3x+\frac{4}{5}=7-2x$  

•  $x=1\frac{6}{25}$  

• x = 31

• no solution

• x = 7

Solve  $2(x-3)+6x=3(9-x)$  

• x = no solution

• x = 3

• x = infinite solutions

• x = 11

Tags

CCSS.8.EE.C.7A

Simplify  $7(2x+y)+6(x+5y)$  

•  $57xy$  

•  $20x+6y$  

•  $14x+12y$  

•  $20x+37y$  

Tags

CCSS.6.EE.A.3

Place a check beside each pair forms a proportion.

• $\frac{2}{3}\ and\ \frac{6}{9}$

• $\frac{5}{15}\ and\ \frac{4}{12}$

• $\frac{4}{12}\ and\ \frac{6}{24}$

• $\frac{1}{9}\ and\ \frac{9}{10}$

Tags

CCSS.7.RP.A.2A