Simplify the expression 5³ × 5⁴ using the properties of integer exponents.
Number System Exponents
Question · Easy
Slope: up or down? Pick fast
Short
Simplify the expression (4³)².
Simplify the expression 7⁸ / 7⁵.
Evaluate 3⁻⁴.
Evaluate the expression (15.8)⁰ + 2³.
Which of the following numbers is irrational?
Evaluate √144 - √25.
Evaluate ∛64 + ∛125.
Between which two consecutive integers does √50 lie on a number line?
Question · Medium
Express 680,000,000 in scientific notation.
Express 0.000037 in scientific notation.
Multiply (3 × 10⁵) × (4 × 10⁴) and write the result in scientific notation.
Divide (8.4 × 10⁸) ÷ (2.1 × 10³) and express the answer in scientific notation.
Add (5.2 × 10⁶) + (3.1 × 10⁵) and express the result in scientific notation.
Earth's average distance from the Sun is 1.5 × 10⁸ km, while Neptune's distance is 4.5 × 10⁹ km. Approximately how many times farther from the Sun is Neptune than Earth?
Simplify the expression (2a³b⁴)² / (a²b⁵).
Question · Hard
Which decimal best approximates the value of π + √5 on a number line?
Solve the equation x³ = -216 for x.
Solve the linear equation 5x - 7 = 2x + 8 for x.
Expressions Equations
Solve the multi-step equation 4(x - 3) + 2 = 18.
Which linear equation has infinitely many solutions?
Which of the following linear equations has NO solution?
Find the slope m of the line passing through points (2, 5) and (6, 17).
A table shows linear function values: (1, 4), (3, 10), (5, 16), (7, 22). What is the slope of the line?
What is the y-intercept of the line represented by 4x - 2y = 10?
Write an equation in slope-intercept form (y = mx + b) for a line with slope -2 passing through point (3, 4).
Write the equation of the line passing through points (-1, 2) and (3, 10).
Which linear equation represents a line with a slope of 3/4 and a y-intercept of -2?
A plumber charges a flat service call fee of $50 plus $40 per hour of work. Which linear equation models the total cost C for h hours of work?
At which point do the graphs of the linear system y = x + 1 and y = -x + 5 intersect?
Solve the system of linear equations by substitution: y = 2x - 3 3x + y = 12
Solve the system of equations by elimination: 2x + 3y = 13 2x - y = 1
Marcus bought 3 notebooks and 2 pens for $12. Maya bought 2 notebooks and 4 pens for $16. What is the price of ONE notebook?
How many solutions does the system of equations y = 3x - 4 and 6x - 2y = 8 have?
Solve the linear equation with fractions: 1/2 x + 2/3 = 5/6 x - 1/3.
What is the slope of any vertical line, such as x = 4?
Line A passes through points (0, 2) and (4, 10). Line B is defined by y = 1.5x + 7. Which line has a STEEPER slope?
How many solutions does the system of equations y = -3x + 4 and 6x + 2y = 15 have?
Solve the equation: 3(2x - 4) - 2(x + 5) = 4x - 22.
Two small pitchers and three large pitchers can hold 18 cups of liquid. Four small pitchers and two large pitchers can hold 20 cups. How many cups of liquid can ONE large pitcher hold?
Which of the following set of ordered pairs represents a FUNCTION?
Functions
By definition, why does a vertical line intersecting a graph at two points prove the graph is NOT a function?
Given the function f(x) = -3x + 7, evaluate f(4).
For the linear function g(x) = 4x - 9, find the input x when the output g(x) = 15.
Function 1 is defined by y = 4x - 3. Function 2 is given by table values (0, 1), (2, 7), (4, 13). Which function has a GREATER rate of change?
Function A has an initial value (0, 5) and slope 2. Function B is graphed as a line passing through (0, 8) and (2, 12). Which function has the LARGER initial value?
Which of the following equations represents a NON-LINEAR function?
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