EXPRESSIONS, EQUATIONS, AND FUNCTIONS
f(x) = 2x − 5
g(x) = f(x + 4)
g(x) = 2(x + 4) − 5 = 2x + 3
(Shift left 4)
Write the equation of the line that passes through
(2, 5) with slope −1.
Answer: y = −x + 7
Solve the equation:
4(x + 2) − x = 14
x = 2
Solve and write the answer:
3(x − 4) = 2x + 1
Answer: x = 13
Find the x- and y-intercepts of:
6x − 3y = 12
Answer: x-intercept (2, 0), y-intercept (0, −4)
Which elements of the set
{−18, −12, −9, −6, −3, 0, 3, 6, 9}
are odd AND multiples of 3?
Answer: {−9, −3, 3, 9}
Is x=8 a solution for 2x+10<4x-7
No; 26<25 does not work!
Write the equation of a line perpendicular to
y = −3x + 5
that passes through (3, 2)
y = 1/3x + 1
Solve the inequality and write the solution:
3(x − 4) ≤ x + 8
Answer: x ≤ 10
f(x) = 2x + 1
g(x) = f(x) + 4
g(x) = 2x + 5
(Shift up 4)
Write the equation of the line that passes through (−4, 6) and (2, −6).
Answer: y = −2x − 2
Domain: 1, 1.5, 2, 2.5
Range: 10, 13, 16, 19
Write the function.
Answer: y = 6x + 4
Solve: |x-2|+6>9
What is x>5 or x<-1.
A linear function has the following values:
x: 1, 1.5, 2, 2.5
y: 7, 10, 13, 16
Write the function in the form y = mx + b.
Answer: y = 6x + 1
9 − 4(x − 2) = 2(2x + 1)
x=2
Determine whether the lines are parallel, perpendicular, or neither:
3x + y = 9
y = −3x + 1
Perpendicular
Solve the compound inequality and write the solution:
x − 6 ≤ 4 OR 3x − 2 > 10
Answer: x ≤ 10 OR x > 4
Determine whether the relationship shows positive or negative correlation, and whether it shows causation or no causation:
Hours studied: 1, 2, 3, 4, 5
Test scores: 68, 72, 75, 78, 80
Positive correlation
No causation