FM1 Final Review: Unit 1 Equations

Front

What is the solution to the equation 6(2x - \frac{5}{6}) = 10x + 9?

Back

x = 7

Front

What is the formula for the area of a triangle?

Back

Area = \frac{1}{2} \times base \times height

Front

If f(x) = 5x - 2, what is f(2)?

Back

f(2) = 5(2) - 2 = 8

Front

If g(x) = x^2, what is g(-7)?

Back

g(-7) = (-7)^2 = 49

Front

What is the distributive property in algebra?

Back

a(b + c) = ab + ac

Front

How do you combine like terms in an expression?

Back

Add or subtract coefficients of the same variable.

Front

What is the first step to solve the equation 10x + 9 = 6(2x - \frac{5}{6})?

Back

Distribute 6 to both terms inside the parentheses.

Front

What is the height of a triangle if its area is 20 and base is 10?

Back

Height = \frac{2 \times Area}{base} = \frac{2 \times 20}{10} = 4 cm

Front

What does it mean to solve for a variable in an equation?

Back

To isolate the variable on one side of the equation.

Front

What is the value of v if the equation v + 3 = 18?

Back

v = 15