Exponents & Roots
Simplify: 23 ×22
25 = 32
Two points on a graph are (-5, 1) and (15, 1). If you connect them, what is the distance of the line?
20 Units
Simplify: 3x+5x+(-2x)
6x
4x−3=13
x = 4
A movie ticket costs $8.50. Would bringing $39 to pay for 5 tickets be enough?
No
5 tickets would cost $42.50 all together
Simplify: (x3)2
x6
Find the midpoint between (–2, 8) and (6, 8).
(2, 8)
What equation would (x+5)(x+2) make?
x2+7x+10
6x+4=22
x = 3
A number is tripled and increased by 6 to make 21. What is the number?
x=5
3x (number is tripled) + 6 (increased by 6) = 21
What is the square root of (49x2)
7x
A square has vertices at (1, 1), (1, 5), (5, 1), and (5, 5). What is its area?
4 x 4 = 16
Simplify: 4x2+3x−(2x2−5x)
2x2+8x
3(x−4)=18
x = 10
A rectangle’s length is twice its width. If the area is 18, what are its dimensions?
L = 3 and W = 6
L x w = 18
2L = W (put 2L in for w in previous equation)
L x (2L) = 18 --> 2L2 = 18
L2 = 9 --> L = 3
If 5x=125, what is x?
x = 3
If the coordinates for a rectangle are (2, 1), (2, 6), (7, 1), and (7, 6), what is the perimeter?
2(5+5)+2(5+5)=20
Simplify: (3x2+2x−5)−(x2−4x+7)
2x2+6x−12
4(x+2)−3=3x+7
4x + 8 − 3 = 3x + 7
4x + 5 = 3x + 7
x= 2
Movie tickets cost $9 each, plus a $2 service fee per order. How much does it cost to buy 7 tickets?
$65
(7×9) + 2
(63) + 2 = 65
Simplify: (4x5y3) / (2x2y)
2x3y2
The coordinates for a square are (1, 2), (1, 6), (5, 2), and (5, 6). If it has a height of 2, what is the volume of the square?
Answer = 32
Base x Width x Height
4 x 4 x 2
Simplify: (5x2−3x+8)−(2x2+4x−6)+(x2−2x+1)
4x2−9x+15
2(x+3)−4=x+7
x = 5
You have $150 in your account. Each week you spend $15. Write and solve an equation to find how many weeks until your account is empty.
150 - 15x = 0
Solve for 0 --> x = 10