Operations & Functions
Write an algebraic expression for "The sum of 3 times a number and 7."
3n+7
Solve for x in the equation.
5x−7=18
5x−7=18 (add 7!)
5x=25
x=5
Simplify the expression.
3(2x+4)−5(x−1)
x+17
Solve for y and identify the slope of the line.
2x+3y=12
m = -2/3
If the function f(x)=2x2−3x+5, evaluate f(3).
f(3) = 14
Solve.
x2+10=35
x = ±5
If 2x+y=10 and x = 2, then find y.
y = 6
A line passes through the points (2,4) and (5,10). Determine its slope.
m = 2
Describe the transformation and the parent function.
y =(x - 2)2 + 3
R2 and U3
Quadratic (U shape!)
Solve.
4x2=64
x = ±4
Simplify.
−5(3x−4)
−15x + 20
Write the equation of a line in slope-intercept form that passes through (3,7) with a slope of −2.
HINT: Could you use a different form like point slope to start with?
y= −2x+13
Given the parent function of y = lxl, describe the transformation made to get y = lx+3l - 8
Solve.
√x + 3 = 8
x = 25
Solve the compound inequality:
2x−3 > 1 and x+4 ≤ 9
x > 2 and x ≤ 5
Determine the x-intercept and y-intercept of the line represented by 3x−4y=12.
(4,0) and (0,-3)
Which of the following relations is a function?
a. {(2,4),(3,6),(2,7)}
b. {(1,5),(2,6),(3,7)}
c. {(4,3),(4,5),(5,6)}
d. {(0,2),(1,3),(0,4)}
B {(1,5),(2,6),(3,7)}
No x-values repeat!
Solve.
5(2x+4)=50
x = 3
Graph 3 > x.
1
2
3
4
Find the slope and a point on the line.
y+6 = -2(x - 1)
Point: (1, -6)
Slope: -2