Solve for variable
3x + 6 = 27
x = 7
One solution, No solution, or Infinite solutions? If one solution, solve for x.
3(x + 1) = 3x + 3
Infinite solutions
Harvey flew south 300 miles. He changed planes and then flew east 500 miles. If he travels a straigh path back home, how many miles will he fly? Round to the nearest mile.
583 miles
DOUBLE POINTS
A square pizza has an area of 144 square inches.
a. How can you determine the side lengths of the square pizza?
b. What is the side length of the pizza?
a. Will need to SQUARE ROOT 144.
b. Each side length will be 12 inches.
DOUBLE POINTS
TRUE or FALSE
4/5 is an irrational number
FALSE.
DOUBLE POINTS
-2(x + 5) + 6x = 38
x = 12
One solution, No solution, or Infinite solutions? If one solution, solve for x.
2(x + 6) = 2x + 8
No solution
Lance delivers books to school libraries. His truck has a slide out ramp for unloading the books. The top of the ramp is 4 feet above the ground. The ramp itself is 6.8 feet long. What is the horizontal distance the ramp reaches? Round to the nearest tenth.
5.5 feet
The volume of a cube is 512 cubic inches. What is the side length of the cube?
8 inches
TRUE of FALSE
-30.25 is a rational number
TRUE
-4x + 2 = x + 12
x = -2
DOUBLE POINTS
One solution, No solution, or Infinite solutions? If one solution, solve for x.
4x + 1 = -3x + 15
x = 2
DOUBLE
A 60-foot cable is stretched from the top of a pole to an anchor on the ground. It is anchored on the ground 19 feet away from the base of the pole. How tall is the pole? Round to nearest whole number.
57 feet
Between what two integers is the square root of 75 in between?
Between 8 and 9
IRRATIONAL
5 + 3/4x = x + 1
x = 16
One solution, No solution, or Infinite solutions? If one solution, solve for x.
5 + 2x = 2x
No solution
Which of the following could be side lengths of a right triangle? Select all that apply.
a. 6, 8, 10
b. 4.5, 6, 7.5
c. 5, 12, 14
d. 7, 24, 25
e. 5, 7, 10
A, B, and D
A square parking lot has an area of 12,996 square yards. How many yards of fence will it take to enclose the entire parking lot?
456 yards
RATIONAL
-3x + 4(x-2) + 6x = 41
x = 7
Write a number into each blank to create an equation that has no solutions.
5(2x + 9) - 3 = ____x + ____
10x and any number besides 42.
Jackson planted a square garden that has an area of 64 square feet. What is the length of the diagonal of Jackson's garden? Round to the nearest tenth.
11.3 feet
A square garden has an area of 144 square feet. The owner wants to put up a deer fence around the garden that costs $3.50 per linear foot. How much will it cost to put the fence up all the way around the garden?
$168
Give an example of a rational and irrational number
check solutions