Algebra 1 Unit 1 Review

Front

What is the equation that represents the total cost, c, of attending an amusement park and visiting n attractions if the entry fee is $12 and the fee per attraction is $3?

Back

c = 3n + 12

Front

Solve for b in the equation: ab - c = d.

Back

b = (d + c)/a

Front

In solving an equation, if a mistake is made in Step 2, what should be done to correct it?

Back

Re-evaluate Step 2 and ensure the operations performed are correct.

Front

If a movie theater's profit is given by the expression 9.5n - 125, how do you find the number of tickets sold when the profit is $1,148?

Back

Set 9.5n - 125 = 1148 and solve for n.

Front

What is the formula for the perimeter of a rectangle?

Back

Perimeter = 2(length + width) or P = 2l + 2w.

Front

If the perimeter of a figure is 34 and one side is x, what is the equation to find x if the other sides are known?

Back

P = 34 = 2x + other sides.

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

How do you solve for x in the equation 2x + 3 = 11?

Back

Subtract 3 from both sides, then divide by 2: x = 4.

Front

What is the first step in solving the equation 3(x - 2) = 12?

Back

Distribute 3 to both terms inside the parentheses.

Front

What is the solution to the equation 5x - 10 = 0?

Back

x = 2.