Non-Calculator
What is the definition of a rational number?
Any number that can be written as a fraction where the numerator (top number) and the denominator (bottom number) are integers
Solve for X.
-18=-5(x-6) + 2
x=10
Is the following set of ordered pairs a function?
{(1,3), (3,9), (5,11), (7,21)}
Yes, each input has a different output.
Solve using SUBSTITUTION.
−3x − 8y = 20
−5x + y = 19
One Solution
(-4,-1)
A cylinder with a radius of 4 yd and a height of 5 yd.
251.3 yd³
What is the definition of an irrational number?
Solve for X
2x - x + 4 = -8
X=-12
The joining fee at the gym is $100. After paying the initial fee, the monthly cost is $23.
Write an equation in slope-intercept form for the total cost of the one-year gym membership.
Y= 23x + 100
Solve using SUBSTITUTION.
−5x + y = −3
3x − 8y = 24
(0,-3)
A square prism measuring 6 km along each edge of the base and 5 km tall.
180 km³
What is the square root of 72? (Round to the nearest tenth)
Solve for X.
5(2x - 3) + 6 = 3(4x - 3) - 2x
x=0
The joining fee at the gym is $100. After paying the initial fee, the monthly cost is $23.
How much have you paid after 9 months?
$307
Solve using ELIMINATION
−6x + 5y = 1
6x + 4y = −10
(-1,-1)
A cone with diameter 14 yd and a height of 14 yd.
718.4 yd³
Simplify the expression:
7y3 * 2k7 * 5y2 * 9k4
35y518k11
You buy a magazine for $5 and four erasers. You spend a total of $25. How much did each eraser cost?
$5
The joining fee at the gym is $100. After paying the initial fee, the monthly cost is $23.
If you don't want to spend over $500 on going to the gym, how many months can you go before you need to quit the gym?
17 months
Solve using ELIMINATION.
7x + 2y = 24
8x + 2y = 30
(6, -9)
A cone with diameter 20 cm and a height of 20 cm.
2094.4 cm³
Simplify the expression:
(2m0)3 * 7m8
56m8
Shannon won 40 super bouncy balls playing horseshoes at her schools pep rally. Later, she gave two to each of her friends. She only has 8 bouncy balls remaining. How many friends does Shannon have?
16 friends
Yuji recorded the age, in years, and the height, in inches, of his favorite professional baseball team. He records them as ordered pairs (age, height): {(31,74), (29, 76), (25, 72), (28,72), (31, 72), (23, 77), (24, 71), (25, 77), (28, 72), (27, 72)}
Is this a function? Explain.
No, 25 & 31 have two different outputs.
Solve using ELIMINATION.
2x + 8y = 6
−5x − 20y = −15
Infinite number of solutions.
A sphere with a diameter of 10 ft.
523.6 ft³