Solving Equations
Solve: x + 7 = 15
x = 8
Solve by graphing:
y = x
y = 2
Answer: (2, 2)
What is the slope of the line y = 3x + 2?
Answer: 3
Multiply: (x + 3)(x + 2)
Answer: x² + 5x + 6
Factor: x² + 7x + 10
Answer: (x + 5)(x + 2)
Solve: 3x = 21
Answer: x = 7
Solve by substitution:
y = x + 1
y = 4
Answer: (3, 4)
Write the equation with slope 2 and y‑intercept −1.
Answer: y = 2x − 1
Multiply: (x − 4)(x + 1)
Answer: x² − 3x − 4
Factor: x² − 5x + 6
Answer: (x − 2)(x − 3)
Solve: 2x − 5 = 11
Answer: x = 8
Solve by elimination:
x + y = 10
x − y = 2
Answer: (6, 4)
Write the equation of a line with slope −3 that passes through (0, 4).
Answer: y = −3x + 4
Multiply: (2x + 3)(x + 5)
Answer: 2x² + 13x + 15
Factor: x² + 2x − 15
Answer: (x + 5)(x − 3)
Solve: 4(x + 3) = 28
Answer: x = 4
Solve:
2x + y = 7
x + y = 5
Answer: (2, 3)
Write the equation of the line passing through (2, 3) with slope 1.
Answer: y = x + 1
Multiply: (x − 6)²
Answer: x² − 12x + 36
Factor: 2x² + 7x + 3
Answer: (2x + 1)(x + 3)
Solve: 5x − 3 = 2x + 12
Answer: x = 5
Solve:
3x − y = 5
2x + y = 11
Answer: (4, 7)
Find the equation of the line through (−2, 5) and (2, 1).
Answer: y = −x + 3
Multiply: (3x − 2)(2x + 5)
Answer: 6x² + 11x − 10
Factor completely: 3x² − 12x
Answer: 3x(x − 4)