Expressions
Combine these like terms:
3x − 5x
What is −2x?
Solve:
x + 7 = 15
What is x = 8?
Maya has $8 less than three times the amount of money Jordan has. Maya has $28. Jordan has this much money.
What is $12?
Solve:
|x| = 7
What is x = 7 or x = −7?
Solve for y:
3x + y = 12
What is y = 12 − 3x?
Simplify this expression:
7a − 3 + 2a + 8
What is 9a + 5?
Solve:
3x − 5 = 16
What is x = 7?
A gym charges a $15 sign-up fee plus $8 per month. The total cost will be $95 after this many months.
What are 10 months?
Solve:
|x − 3| = 5
What is x = 8 or x = −2?
Solve for h:
A = (1/2)bh
What is h = 2A/b?
Use the distributive property, then combine like terms:
4(2x + 3) − 5x
What is 3x + 12?
Solve:
2(x + 4) = 18
What is x = 5?
A rectangle has a length that is 5 cm more than its width. Its perimeter is 34 cm. The rectangle has these dimensions.
What is 6 cm x 11 cm?
Solve:
2|x + 4| = 12
What is x = 2 or x = −10?
Solve for x:
y = 3x − 7
What is x = (y + 7)/3?
Simplify:
3(2x − 4) + 2(x + 5) − 7
What is 8x − 9?
Solve:
5x − 7 = 2x + 11
What is x = 6?
A taxi charges a $4 starting fee plus $2.50 per mile. Another taxi charges $7 plus $2 per mile. After this many miles the two taxis will cost the same amount.
What are 6 miles?
Solve:
3|2x − 1| − 6 = 15
What is x = 4 or x = −3?
Solve for x:
A = 3x + 2y − 5
What is x = (A − 2y + 5)/3?
This expression requires distribution and combining like terms:
2(3x − 5) − 3(2x + 4) + 5x − 7
What is 5x − 29?
Solve:
4(x − 2) + 3 = 4x − 5
What are infinitely many solutions?
A school is selling tickets to a play. Student tickets cost $6 and adult tickets cost $10. The school sold 18 more student tickets than adult tickets and collected $620 total. There were this many adult and student tickets sold.
What are 50 student tickets and 32 adult tickets?
Solve:
4|2x − 3| − 8 = 4x
What is x = 5 or x = 1/3?
Solve for x:
y = 2(x − 3) + 5x
What is x = (y + 6)/7?