Linear equations (one variable)

Which of the equations fits for the word problem?

Thomas had $20 to spend on seven raffle tickets. After buying them she had $6. How much did each raffle ticket cost?

• 20 - 7x = 6

• 7x + 6 = 20

• 6x + 7 = 20

• 6x - 7 = 20

Write an equation to represent this word problem.

• 24 - 7p = 10
• 24 + 7p = 10
• 24 = 7p - 10
• Can't do it

Nikievia charges $5 per hour for babysitting, plus a flat fee of $12 for her travel expenses. Yajaira charges $3 per hour for babysitting, plus a flat fee of $18 for her travel expenses. Which equation could be used to determine the number of hours each babysitter must work to earn the same amount?

• $3x+5x=16$

• $5x+12=3x+18$

• $5x+18=3x+18$

• $3x+12=5x+18$

Write an algebraic expression that represents:

"Eight subtracted from twice a number is negative two."

the difference of twice a number and four is 12

• (2a + 4)= 15

• (2a - 4) = 12

• (2 - 4) = 12

• a - 4 = 12

Translate the following statement into an equation. Two times the sum of a number and 5 subtracted from 3 is 10.

• 3 - 2x + 5 = 10

• 2(x + 5) - 3 = 10

• 3 - 2(x + 5) = 10

• 2x + 5 - 3 = 10

Write an equation to represent the situation

Gayle started with 30 pairs of shoes and donated x pairs. Her sister Bonnie started with 22 pairs of shoes and donated half as many pairs as Gayle did.

Tip: use x as the variable

Mathematical Equivalence

ON

Translate the given word problem into an algebraic equation: The difference between a number and 8 is 12. What is the number?

• 16

• 4

• 10

• 20

Translate:

The quotient of a number and 6 minus 3 is 1.

• $\frac{n}{6}-3=1$

• $6n-3=1$

• $n+6-3=1$

• $6-3=1$

Which algebraic expression best represents the following verbal expression?
 
twice n increased by seven is eighteen

• 2n + 7 = 18
• n² + 7 = 18
• 2n + 7 + 18
• 2n + 7 = 8