The Basics
292 × 301 = ?
87,892
Given the function f(x) = 2x + 5, what is f(3)?
11
42 − (6 + 2) × 3 = ?
-8
Find the area and the perimeter of the rectangle:
A rectangle has a length of 8.5 meters and a width of 3.2 meters.
Area = 27.2, Perimeter = 23.4
Solve the system:
x + y = 10
x - y = 4
x = 7, y = 3
(add the x+y and x-y on one side, and the 10 + 4 on the other)
6.3 × 4 = ?
25.2
If f(x) = 3x2 − 2x + 1, what is f(−4)?
57
(5 + 7) × 32 / 9 - 3 = ?
18
The perimeter of a rectangle is 48 meters. The length is 4 meters longer than the width.
Find the length, width, and area of the rectangle.
Length = 14 m
Width = 10 m
Area: 140 m2
A basket contains apples (A) and pears (P). The system of equations is:
A + P = 12
2A + 3P = 30
How many apples and pears are in the basket?
Apples (A) = 6
Pears (P) = 6
29.8 - 5.73 = ?
24.07
A moving company charges a flat fee of $50 plus $1.25 per mile for travel.
Write a function that represents the total cost, then find the total cost for a 72-mile trip.
$140
[(10−6)2 + 8] ÷ 23 = ?
3
A rectangular garden has a length of 12 feet and a width of 5 feet.
Find the length of the diagonal.
a2 + b2 = c2
13
Nn + Nq = 250
5Nn + 10Nq = 1500
Nn = 200
Nq = 50
Solve (to the thousandths place):
45 ÷ 8 = ?
5.625
A table of X and Y have the following values:
X1 = 1, X2 = 3, Y1 = 4, Y2 = 10
What is the slope of the function?
(Y2 - Y1) / (X2 - X1) = 3
(7.2 − 3.2)2 / (1.5 + 0.5) + 6.4 - 2.7
11.7
A rectangular TV screen has a width of 32 inches and a height of 24 inches.
What is the length of the diagonal of the screen?
40 in
A theater sells normal tickets (Nn) and VIP tickets (Nv). The systems are as shown:
Nn + Nv = 300
20Nn + 50Nv = 9000
How many normal tickets and VIP tickets were sold?
Normal Tickets (Nn): 200
VIP Tickets (Nv): 100
5.76 ÷ 0.3 = ?
19.2
A table of X and Y have the following values:
X1 = 2, X2 = 5, Y1 = 12, Y2 = 3
What is the slope of the function?
(Y2 - Y1) / (X2 - X1) = -3
Answer in decimal form:
(8.5 − 7.5)2 / (2.5 + 1.5) = ?
.25
A rectangular sports field has a length of 120 meters and a width of 90 meters.
What is the length of the diagonal of the field?
150 m
A farmer sells grapes (G) and pistachios (P). The system of equations:
2G + P = 20
G + 3P = 27
How many grapes and pistachios did the farmer sell?
Grapes (G) = 6.6
Pistachios (P) = 6.8