Functions & Linear Equations
What is the slope of the line for the equation y=2x+4
2
Solve for x: x+3=7
x=4
What is the hypotenuse of a right triangle with legs 3 and 4?
Simplify 23
8
What is the probability of rolling a 3 on a fair 6-sided die?
1/6
Beth has $10 and earns $2 per hour. Write an equation to represent her total earnings after x hours.
y=2x+10
What does the y-intercept of a linear function represent in a graph?
The point where the line crosses the y-axis.
What method would you use to solve the system of equations x+y=5 and y=3x−1
Substitution
A right triangle has legs of 6 and 8. What is the hypotenuse?
10
What is 32 x 33
35=243
If a bag has 4 red marbles and 2 blue marbles, what is the probability of drawing a red marble?
4/6 = 2/3
A store sells t-shirts for $15 each. If you buy 3 shirts, how much will the total cost be?
$45
Write the equation of a line with a slope of 3 and a y-intercept of -4.
y=3x−4
Solve the system of equations: y=2x+3 and y=−x+1
x=−2/3, y=5/3
If the area of a rectangle is 20 square units and its length is 5 units, what is its width?
4
Simplify (x2)(x3)
x5
What is the mode of the data set: {2, 3, 4, 4, 5, 5, 5, 6}?
5
A car travels 60 miles per hour. How far will it travel in 4 hours?
240 miles
If the slope of a line is 1/2, how does the graph of the line behave?
The line rises 1 unit up for every 2 units it moves to the right.
Which method would be best to solve the system 3x+2y=7 and x−y=4?
Elimination
What is the formula to find the area of a triangle?
21×base×height
Convert 0.0035 to scientific notation
3.5 × 10-3
In a class of 30 students, 12 are boys and 18 are girls. What is the probability of randomly selecting a girl?
18/30 = 3/5
A bike rental costs $10 per hour plus a $5 fee. Write an equation for the total cost C after h hours.
C=10h+5
What is the slope of the line passing through the points (2,3) and (4,7)?
Solve the system of equations using substitution: 2x+y=9 and y=3x−1
x=2, y=5
In a right triangle, one leg is 7 and the hypotenuse is 25. Find the other leg.
24
Simplify 4x3 / 2x
2x2
What is the range of the data set: {8, 12, 15, 19, 21, 24}?
16
A rectangular garden has a length of 12 meters and a width of 5 meters. What is its area?
60 square meters