LINEAR EQUATIONS
What is the slope of the line represented by the equation
y = 3x + 2
3
True or False: Every linear equation is a function.
true
What is the sum of the interior angles of a triangle?
180 degrees
What is 3²
9
Is √49 rational or irrational
rational
Solve: 2x - 5 = 11
x = 8
Which of the following is a function?
A) (2, 3), (2, 4)
B) (1, 5), (2, 6), (3, 7)
B
Find the volume of a cube with side length 4 cm.
64 cm³
Simplify: 2³ × 2⁴
2⁷ or 128
Is the product of a rational number and an irrational number always irrational?
yes, unless the number is 0
What does the "y-intercept" represent in a linear equation?
the point where the line crosses the y-axis?
Identify the rate of change in the table:
x: 1, 2, 3, 4
y: 3, 5, 7, 9
2
A triangle has angles 35° and 65°. What is the third angle
80°
Write 6.3 × 10⁴ in standard form.
63,000
Estimate which is greater: √20 or 4.2
√20 ≈ 4.47, so √20 is greater
Solve the system:
2x + y = 7
x - y = 1
x = 2, y = 3
Describe how to tell if a graph represents a function.
"use the vertical line test"?
The Pythagorean Theorem applies to what type of triangle?
right triangle
Simplify: (x²)³
x⁶
Simplify and classify as rational or irrational: √25 + √2
5 + √2, which is irrational
Write the equation of a line with slope -2 that passes through (4, 1)
y - 1 = -2(x - 4) or y = -2x + 9
Graph the function y = -x + 2. What is the slope and y-intercept?
slope = -1, y-intercept = 2?
Use the Pythagorean Theorem:
If a = 5, b = 12, what is c?
13
Write 0.00045 in scientific notation.
4.5 × 10⁻⁴
Prove that π ÷ 2 is irrational.
irrational, because dividing an irrational number by a non-zero rational number is still irrational?