Algebraic Reasoning
The value of 6t, when 3t-7=5t
What is -21?
A ladder is resting against a wall. The top of the ladder touches the wall at a height of 9 feet. Find the length of the ladder if the length is 3 feet more than its distance from the wall.
What is 15ft?
A bag contains 9 red marbles, 2 blue marbles, and 5 green marbles. What is the probability of choosing a blue marble?
What is 1/8?
Which of the following equations has both 1 and -3 as solutions?
x2-2x-3=0 x2+2x-3=0
x2-4x+3=0 x2+4x+3=0
What is x2+2x-3=0?
Factor 25x2-36
What is (5x-6)(5x+6)?
The equation of a line passing through (6,9) and (0,0)
What is y=3/2x?
Find the length of a rectangular lot with a perimeter of 82 meters if the length is 5 meters more than the width.
What is 23 meters?
The mode in a data set is this
What is the most frequently occurring?
Solve the equation using the quadratic formula 4x2+8x+1=0
What is -2+ or - the square root of 3 over 2?
Solve the equation 4x-5+7(x+1)=6x+7
What is 1?
(3x2y3)3
What is 27x6y9
The yard behind Cindy's house is rectangular in shape and has a perimeter of 72 feet. If the length l of the yard is 18 feet longer than the width w of the yard, what is the area of the yard, in square feet?
What is 243 ft2
A card is drawn randomly form a standard 52-card deck. You win $10 if the card is a spade or an ace. What is the probability that you will win the game?
What is 4/13?
y(t)=-16t2+96t+48, after how many seconds will the object reach a height of 192 feet?
What is 3 seconds?
Solve the inequality -2x-1>-3x+8
What is 9<x?
The square root of 5-x=4, then x=
What is -11
The height of a box is 7 inches. It's length is 6 inches more than it's width. Find the length if the volume is 280 cubic inches.
What is 10 inches?
Sam receives the following scores on his English tests: 63, 84, and 96. What average score does he need on the last two tests in order to maintain an 85 average?
What is
A group of 18 people order soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sandwiches cost $7.75 each and the soups cost $4.50 each. If the total cost of all 18 lunches was $113.50, how many sandwiches were ordered?
What is 10 sandwiches?
The sum of the squares of two consecutive integers is 41. Find the integers.
a. 4,5 or -4,-5 b. 4,5
c 4,-5 d -4,-5
What is a 4,5 or -4,-5
If variable x and y are directly proportional, and y=2 when x=3. The value of y when x=9 is
What is 6?
A triangular shaped lake-front lot has a perimeter of 1800 feet. One side is 100 feet longer than the shortest side, while the third side is 200 feet longer than the shortest side. Find the length of all three sides.
What is 500 ft, 600 ft, 700ft?
A coin is tossed three times. What is the probability that it lands on tails exactly one time as a decimal?
What is .375?
A kicked ball's height above the ground in feet, t seconds after the ball was kicked is given by the equation y(t)=-16t2+32t+20. What is the maximum height, in feet, of the ball above the ground after it was kicked?
What is 36?
Two lines are perpendicular if this is done to the slope of the line
What is negative reciprocal?