Real Numbers/Square Roots
What is the value of x in the following problems:
1. x2 = 144
2. x3 = 8
3. √x = 81
1. 12
2. 2
3. 9
What is 52 + 102 + 23?
The answer is 133.
Solve for x:
1. 2x + 10 = 22
2. -3x + 5 = 26
3. 2x + 4 + 4x = 40
1. 6
2. -7
3. 6
What are both ways to calculate slope?
RISE/RUN
or
y2 - y1 / x2 - x1
What is the capital of Tennessee?
Nashville
Which of the following numbers are irrational?
7, √25, 0.625, 3/8, √7, π(Pi)
√7
π(Pi)
Simplify each expression.
1. x³ · x⁴ = __________
2. y⁷ / y² = __________
3. (a²)³ = __________
1. x³ · x⁴ = x⁷
2. y⁷ / y² = y⁵
3. (a²)³ = a⁶
Solve each linear equation.
1. 3x + 8 = 5x - 12
2. 7x - 9 = 4x + 15
1. 10
2. 8
Find the unit rate for each problem. Show your work.
1. A car travels 240 miles in 4 hours. What is the unit rate in miles per hour?
2. A store sells 6 notebooks for $9. What is the cost per notebook?
1. 240 ÷ 4 = 60 miles per hour
2. $9 ÷ 6 = $1.50 per notebook
What is the date that the United States declared it's independence?
July 4. 1776
What is the approximate value of √32 to the tenths?
The correct answer is 5.5
Write each number in scientific notation.
1. 45,000 = ____________________
2. 0.0062 = ____________________
3. 7,350,000 = ____________________
1. 45,000 = 4.5 × 10⁴
2. 0.0062 = 6.2 × 10⁻³
3. 7,350,000 = 7.35 × 10⁶
Identify which equation has no solution.
1. 3x + 8 = 3x + 14
2. 5x - 7 = 2x + 11
3. 4x + 9 = 4x - 3
1. 3x + 8 = 3x + 14 8 = 14 No solution
3. 4x + 9 = 4x - 3 9 = -3 No solution
A student earns $8 for every hour they help their neighbor with yard work. The student starts with $0 and earns the same amount each hour.
Write an equation in the form y = mx to represent the situation.
The correct answer is y=8x
Who is the Head Football Coach for the University of Tennessee?
Josh Heupel
Put the following 6 real numbers in order from least to greatest.
-3
1/2
√16
-1.5
√10
-5/2
-3, -5/2, -1.5, 1/2, √10, √16
Write each number in standard form.
1. 4.5 × 10⁵ = ____________________
2. 7.23 × 10³ = ____________________
3. 6.8 × 10⁻⁴ = ____________________
1. 450,000
2. 7,230
3. 0.00068
Identify which equation has infinite solutions.
1. 3x + 8 = 3x + 8
2. 5x - 7 = 2x + 11
3. 4(x + 2) = 4x + 8
1. 3x + 8 = 3x + 8 8 = 8 Infinite solutions
3. 4(x + 2) = 4x + 8 4x + 8 = 4x + 8 Infinite solutions
A student is riding a bicycle along a trail. After 2 minutes, the student has traveled 150 feet. After 6 minutes, the student has traveled 450 feet.
Find slope.
m = 75
What was the name of the Tennessee Titans before they moved to Nashville?
The Houston Oilers
Write the number 0.6̅ (.6 repeating) as a fraction.
2/3 or 6/9
Solve each problem. Write your answer in scientific notation.
1. (3.2 × 10⁵) + (4.5 × 10⁴) =
2. (8.4 × 10⁷) ÷ (2.1 × 10³) =
1. Answer: 3.65 × 10⁵
2. Answer: 4 × 10⁴
3(2x - 5) + 4x = 5(x + 3) - 8
The correct answer is 4.4
A printer prints 420 pages in 7 minutes. A second printer prints 540 pages in 9 minutes.
If both printers work for 15 minutes, how many pages will each printer print?
Neither printer is faster. Both print at the same rate of 60 pages per minute.
What year OR what city was Dolly Parton born?
Pittman Center, Tennessee
1946