Linear Equations in One Variable Flashcards

If 5x + 3 = 28, what is the value of 2x?

Answer: 10

5x = 25 → x = 5; so 2x = 10.

Solve for y: 8 − 2y = 3y − 7

Answer: y = 3

Add 2y: 8 = 5y − 7; add 7: 15 = 5y; y = 3.

A phone plan charges $0.10 per text. Lena received a bill of $12.50 for texts only. How many texts did she send?

Answer: 125

0.10t = 12.50 → t = 125.

Solve for x: 2x/5 = 8

Answer: x = 20

Multiply both sides by 5: 2x = 40; divide by 2: x = 20.

If 6(x − 3) = 2(x + 5), what is the value of x?

Answer: x = 7

Expand: 6x − 18 = 2x + 10; subtract 2x: 4x − 18 = 10; add 18: 4x = 28; x = 7.

A recipe uses 3 cups of flour for every 2 cups of sugar. If a baker uses 12 cups of flour, how many cups of sugar does she need?

Answer: 8 cups

Set up 3/2 = 12/s → 3s = 24 → s = 8.

Solve for x: −4(x + 1) + 2x = 10

Answer: x = −7

Expand: −4x − 4 + 2x = 10 → −2x = 14 → x = −7.