Exam 3: Solving Equations

Write the sentence as an equation containing parentheses. Solve the equation. Skate World charges $90 for 10 children and $8 for each additional child. How many children can be invited on a $170 budget? Let the number of children be x.

Solve. $18 x + 4 = 6 x + 6$

Describe the equation as an identity or a conditional equation. For conditional equations, state the number of variables in the equation. $y = 2 x + 4$

Use two calculators tables to solve the equation. $6 ( x + 1 ) = 7 x - 9$

Solve the equation from the table. 1 3 2 0 3 -3 4 -6 $6 - 3 x = 12$

Test scores are 92 out of 100, 95 out of 100, and 91 out of 100. Homework is 35 out of 70. What is the minimum final exam score x (200 points possible) is needed to get 90% or better?

Solve. $11 z - 2 = - 101$

Solve: $9 a - \frac { 2 } { 7 } \leq 8 a + \frac { 1 } { 5 }$

Solve the equation. $3 ( 5 x + 1 ) = 19 - 5 x$

Write an equation containing parentheses: The output is the sum of two consecutive numbers.

Solve the equation. $2 - 7 ( x + 2 ) = 3 - 5 x$

Write an equation so that y depends on x. Find the amount of tax, y, for an 8.7% sales tax on a purchase x.

Solve. $z - 4 = 10$

Write the following problem as an equation and solve. The product of 4 and a number is 24.

Use a calculator graph to solve the equation. $8 x + 10 = 10 x - 8$

Solve the equation. $9 ( x - 6 ) = 8$

To solve 4(1 + 3x) = 4 from a graph, find the value of x where:

Solve: $m - \frac { 4 } { 3 } < \frac { 2 } { 5 }$

State the inverse operation needed to solve the equation. Solve the equation. $x + 2 = 6$

Solve the following inequality by using the Addition Property of Inequalities. $4 \leq z + 5$