Math Midterm 2024

Front

Which expression is equivalent to (3⁻⁶)⁻⁵?

Back

(3⁻⁶)⁻⁵ = 3^{(-6)(-5)} = 3^{30}.

Tags

CCSS.8.EE.A.1

Front

Solve the equation: 8(-4x + 2) = -56x + 40. What is x?

Back

x = 1.

Front

Solve: 3(2x - 10) = 30. What is x?

Back

x = 10.

Tags

CCSS.7.EE.B.4A

Front

Write the number 0.064 in scientific notation.

Back

0.064 = 6.4 x 10^{-2}.

Front

Evaluate: 9.3 x 10⁵ + 8.2 x 10⁵. Express in scientific notation.

Back

9.3 x 10⁵ + 8.2 x 10⁵ = 1.75 x 10⁶.

Tags

CCSS.8.EE.A.4

Front

What is the definition of scientific notation?

Back

Scientific notation is a way of expressing numbers as a product of a number between 1 and 10 and a power of 10.

Tags

CCSS.8.EE.A.3

Front

What is the property of exponents that states a^m * a^n = a^(m+n)?

Back

This is the Product of Powers Property.

Tags

CCSS.8.EE.A.1

Front

What is the property of exponents that states (a^m)^n = a^(m*n)?

Back

This is the Power of a Power Property.

Tags

CCSS.8.EE.A.1

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed.

Front

What does it mean if an equation has no solutions?

Back

It means that there are no values for the variable that will satisfy the equation.

Tags

CCSS.8.EE.C.7A