Linear Equations — Test Answers

Which property is being modeled?

How many feet of fencing will George need for the dog run?

Katrina is solving the equation x minus 2 times open paren x plus 3 close paren is equal to 4 times open paren 2 x plus 3 close paren minus open paren x plus 4 close paren Which equivalent equations might Katrina use? Choose two correct answers.

Consider the solution to the linear equation. 5 times open paren x plus 6 close paren is equal to 50 5 x plus 30 is equal to 50 5 x is equal to 20 x is equal to 4 Which describes the inverse operations used after the distributive property?

Mrs. McAlister wrote the equation 10⁢t−4⁢t+3⁢t=8 on the board and asked students to write an equivalent equation. The table shows the responses from four students. Student Responses Name Equation Michele 3 t is equal to 8 Piotr 6 t is equal to 8 Ronnie negative 1 t is equal to 8 Tanisha 9 t is equal to 8 Which student wrote an equation that is equivalent to Mrs. McAlister’s?

Kari picked 23 bunches of flowers from her garden. Each bunch had the same number of flowers. After she gave 46 flowers away, she had 138 left. How many flowers were in each bunch?

Which algebraic expression has no like terms?

Follow the steps and finish the solution. 7 times open paren x minus 3 close paren is equal to 28 Distributive property 7 x minus 21 is equal to 28 Addition property of equality 7 x is equal to 49 Division property of equality x is equal to ____ What is the value of x ?

Which expression is equivalent to 7 b plus 4 b minus 1 b ?

A group of friends are going ice skating. The price of admission is 3 point 2 5 dollars As a group, they spent 14 dollars on refreshments. If they spent a total of 30 point 2 5 dollars on admission and refreshments, how many friends went ice skating?

What is the least common denominator of the equation 3 fourths times open paren x minus 3 close paren minus 1 half is equal to 2 thirds ?

What is the first step in solving the equation 2 thirds x plus 1 third x plus 2 is equal to 5 ?

What is the value of x in the equation 1 half x minus 3 fourths is equal to 3 eighths minus 5 eighths x ?

What is the solution to the equation 6 x plus 2 is equal to 9 x minus 1 ?

What is the least common denominator of the equation 2 ninths x plus 2 thirds x is equal to 7 ?

Which property is used in the first step to solve this equation? 4 times open paren x minus 6 close paren is equal to 5 4 x minus 24 is equal to 5 4 x is equal to 29 x is equal to 29 fourths

The given box shows the first two of four steps for identifying equivalent expressions. • Simplify each expression. • Substitute a number for each variable. • • Which shows the last two steps in the directions?

Carlton is solving a linear equation using the steps shown. Carlton's Work Equation: negative 4 x plus 12 is equal to negative 6 x Step 1: Add 4 x to both sides: 12 is equal to negative 6 x plus 4 x Step 2: Combine like terms: 12 is equal to negative 2 x What is the next step he needs to complete in order to solve the equation?

Which number is a constant in the algebraic expression? negative x squared minus 6 y plus 13 x plus 7

Which is a reasonable first step that can be used to solve the equation 2 times open paren x plus 6 close paren is equal to 3 times open paren x minus 4 close paren plus 5 ?