Algebra
Factor using GCF 36+48x
12(3+4x) or 12(4x+3)
True or False
Adding the same number to both parts of a ratio always creates an equivalent ratio.
FALSE
A parallelogram has an area of 84 cm2 and a base of 12 cm. What is its height?
7 cm
25+3(5-3)2-10
27
A rectangular box has a length of 2 1/3 ft, a width of 1 1/2 ft and a height of 3/7 ft.
What is the volume of the box?
3/2 ft3 or 1 1/2 ft3
15x+3(x+3)-2
18x+7
A recipe uses 3 cups of flour for every 2 cups of sugar. If you use 12 cups of flour, how many cups of sugar are needed?
8 cups
A triangle has a base of 14 inches and an area of 63 square inches. Find its height
9 inches
(3/4)3÷3
9/64
A rectangular storage box has a volume of 360 cubic inches. The box is 12 inches long and 5 inches wide.
What is the height of the box?
6 inches
7.5x2+3.6x+2.5x2-0.60x
10x2+3x
A fruit basket contains apples and oranges in a ratio of 2:3.
If there are 12 apples, how many pieces of fruit are in the basket altogether?
30
A garden has the shape of a trapezoid. The longer base is 12 meters, the shorter base is 8 meters, and the height is 5 meters.
What is the area of the garden?
50 m2
125-(25÷5/4) (13-8)
25
A rectangular prism measures 5 cm × 4 cm × 3 cm. Find its surface area.
Answer: 94 cm2
write an algebraic expression for the following statement:
Sofia has 3 less than double one-third of the number of pencils Julio has.
2x/3 -3 or 2(x/3)-3
The manager of a flower shop decides to hold a Buy 4, Get 1 Free sale on flower bouquets. The sale lasts for one week, and a total of 720 bouquets were sold (not including the ones given away for free). If each bouquet cost the shop $3.50, how much money did the shop lose by giving away the free bouquets?
$630
Diego is painting a triangular garden sign. The sign has the shape of a triangle with a base of 20 feet and a height of 15 feet.
A gallon of paint costs $15.00 and covers 40 square feet. If the total area of a small design on the sign is 30 square feet and will not be painted, how much money will Diego spend on paint?
$45
Maya and 3 friends are at a movie theater.
Each person buys a movie ticket for $8, popcorn for $4.50, and a drink for $3. They also have a coupon for $1 off each drink.
Find the total cost.
$58.00
A rectangular prism has a length of 5/2 feet, a width of 3/2, and a height of 3/4
What is the surface area of the rectangular prism?
27/2 ft2 or 13.5 ft2 or 13 1/2 ft2
1/5(X2+X3)+1/10(X2+5)+2X3-1/2
3/10(X2)+2 1/5(X3) OR 2 1/5(X3) +3/10 (X2)
A school has 360 students. The ratio of boys to girls is 4:5. During a school event, 1/4 of the boys and 1/5 of the girls participate in a competition. How many students do NOT participate?
280 Students
Andy, a city horticulturist, is developing a new park over an old city lot. The park has the shape of a parallelogram with a base of 108 feet and a height of 150 feet. The center of the park features a koi pond that will cover 1,200 square feet. The remaining space will need to be covered with grass seed. If a 50-pound bag of grass seed covers up to 7,500 square feet, how many bags of grass seed will Andy need to buy to seed the rest of the park?
2 bags
(3/4)2+5/6÷10/9-1/8
19/16 OR 1 3/16
Maria wants to buy enough potting soil to fill four rectangular garden boxes that are 30 inches long, 10 inches wide, and 6 inches high. If one bag of potting soil contains enough soil to fill 1,200 cubic inches, how many bags should she buy?
6 bags