Find the mistake in solving the equation
Consider this solution to a problem.
Problem: -4(6 - y) + 4 = -4
Step 1: -24 - 4y + 4 = -4
Step 2: -20 - 4y = -4
Step 3: -4y = 16
Step 4: y = 4
Choose the number of the step where the first mistake was made.
Then, solve the equation correctly.
Solution to system of inequalities
Which graph best represents the solution to the system?
x + y ≤ 6
x + 2y ≤ 8
Find the rate
The formula for the rate at which water is flowing is
R = --- , where
- R is the rate
- V is the volume of water, measured in gallons (g)
- t is the amount of time, in seconds (s), for which the water was measured
Select an appropriate measurement unit for rate:
Solve the inequality
Which inequality represents all possible solutions of -6n < -12 ?
A.) n < 72
B.) n > 2
C.) n < 2
D.) n > 72
Enter an expression equivalent to:
(3x² + 2y² - 3x) + (2x² + y² - 2x) - (x² + 3y² + x)
Factoring a difference of two squares
Select the expression that is equivalent to m² - 25.
A.) (m² - 10m + 25)
B.) (m² + 10m + 25)
C.) (m - 5)(m + 5)
D.) (m - 5)²
The graph of a quadratic function f(x) intersects the x-axis at -3 and 5.
What is a possible equation for f(x)?
An equation is shown.
2x² - 5x - 3 = 0
What value of x makes the equation true?
Select all of the expressions that are equivalent to:
A.) (3x² - y)²
B.) (3x²)² - (y)²
C.) 9(x²)² - (y)²
D.) (9x²)² - (y)²
E.) (3x² + y)(3x² - y)
Which expression is equivalent to (2x² + 3)(x + 4) ?
A.) 2x³ + 12
B.) 2x² + 11x + 12
C.) 2x³ + 6x² + 4x + 12
D.) 2x³ + 8x² + 3x + 12
Algebra 1 State Test Practice Archives