Algebra 1
Solve for x:
x+7 = 12
x = 5
What is the area of a rectangle with length 8m and width 5m?
40 m2
Simplify: (x2−9)/(x+3)
x - 3
Evaluate sin(30°)
1/2
Sarah has $45. She spends $12 on lunch. How much money does she have left?
$33
Simplify: 3(2x+4) - 5x
x+12
A regular hexagon has side length 6. Find its perimeter.
6 * 6 = 36
Solve for x: 3x = 81
x = 4
Given f(x)=√(x−4)
x≥4 or [4, ∞)
An equilateral triangle has sides of length 9 cm. What is its perimeter?
27 cm
Factor: x2 + 5x + 6
(x+2)(x+3)
Given a right triangle with legs measuring 3m and 4m, what is its hypotenuse?
5m
Solve for x: log2(x)=5
x = 25
x = 32
Solve for x: 2sinx = 1, leave your answer in degrees.
30° and 150°
A movie theater sells tickets for $8 each. Write an expression for the total cost C of x tickets.
C = 8x
The slope of a line is 2 and it passes through the point (1,3). Write its equation in point-slope form.
y−3 = 2(x−1)
In ∆ABC, ∠A = 30°, ∠B = 90°. Find ∠C.
∠C = 60°
A car with an initial value of $20,000 depreciates by 10% yearly. What is its value after 3 years?
$14,580
A geometric series has first term 5 and ratio 3. Find the sum of the first 4 terms.
A car rental costs $50 plus $0.25 per mile. Write an equation for the total cost C after m miles.
C = 50 + 0.25m
Solve for x: 2x2−3x−5=0
x=(3±√49)/4
x=2.5 ; x=−1
Find the circumference of a circle with radius 7. Leave your answer in terms of π (pi).
C = 14π
A ball is thrown upward and its height after ttt seconds is h(t)=−16t2+64t+80. How long until it hits the ground?
t = 5 seconds
Given f(x)=x2+3x, find the difference quotient f(x+h)-f(x)/h. (Simplify your answer).
2x + h + 3
An investment triples every 7 years. Write an expression for its value after t years.
A = P(3)t/7