SOL 7.12: Equations Prep

SOL 7.12: Equations Prep

I can solve two-step linear equations in one variable, including practical problems that require the solution of a two-step linear equation in one variable.

Two-Step Equations Tips

• Isolate the variable

• What you do to one side you must do to the other

• Use inverse (opposite) operations to solve

• "Undo" addition/subtraction first, then multiplication/division

• equations can be modeled using colored chips, algebra tiles, or weights on a balance scale

• An equation is a mathematical sentence that states that tow expressions are equal

• Always check your answers!

Multiple Choice

 $2x+5=23$  
Solve for x.

• -9

• -14

• 9

• 14

Tips for verbal sentences....

• watch for turn around words: less than, subtracted from

• "is" means =

Multiple Choice

Which equations means "a number increased by the product of 7 and 12 is 93"?

• $7x+12=93$

• $7x+12x=93$

• $\left(x+7\right)\left(12\right)=93$

• $x+\left(7\right)\left(12\right)=93$

Multiple Choice

• 5

• -2

• 2

• -5

Multiple Choice

Ms. Alvey's scarf is 4 inches more than half the length of Mrs. Watson's scarf. Ms. Alvey's scarf is 34 inches long. How long is Mrs. Watson's scarf?

• 15 inches

• 60 inches

• 112 inches

• 128 inches

Multiple Choice

What is the equation shown in this picture?

• $3x=7$

• $-3x=-7$

• $x-3=-7$

• $x+3=7$

Multiple Choice

Solve for x.

• $x=-4$

• $x=\frac{7}{3}$

• $x=4$

• $x=-10$

Multiple Choice

Which of the algebraic equations below represents the following verbal sentence?

Seven less than a number is eight

• $7-x=8$

• $x-7=8$

• $-7x=8$

• $7+x=8$

Multiple Choice

Which of the algebraic equations below represents the following verbal sentence?

A number decreased by nine is twelve

• $9-n=12$

• $n-9=12$

• $9n=12$

• $12-9=n$

Multiple Choice

• 8

• 16

• 4

• 10

Multiple Choice

 $6x-4=32$  

Which verbal sentence represents the equation above?

• the product of six and a number less than 4 is 32

• the quotient of six and a number, minus four is 32
  

• six times the difference of x and 4 is 32

• Four less than the product of six and a number is 32