Algebra Chapter 1 Quiz

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What is the first step to solve the equation `3x = -7`?

Multiply both sides by 3.
Divide both sides by 3. (correct)
Add 7 to both sides.
Subtract -7 from both sides.

The equation `3x − 5 = 2x + 7` has a solution for x that is negative.

True (A)

What is the value of x in the equation `x - 10 = -2`?

8

In the equation `1/4 x - 2 = 1/2 x - 3`, the first step to isolate x is to add _____ 2 to both sides.

2 Signup and view all the answers

Match the following equations with their type:

3x = -7 = Simple equation with single variable 3x − 5 = 2x + 7 = Equation with multiple variables 1/4 x - 2 = 1/2 x - 3 = Equation with fractions x - 10 = -2 = Simple equation with single variable Signup and view all the answers

What is the value of x when angle a = 3x and e = ½x + 100?

40° (D) Signup and view all the answers

Angle d is equal to 96°.

True (A) Signup and view all the answers

What are the values of angles e and f if x = 40°?

e = 120°, f = 60° Signup and view all the answers

When solving for z in angles g, j, and k, the equation used is g + j + k = ______.

180 Signup and view all the answers

Match the following equations with their corresponding variables:

3x = ½x + 100 = Finding x 5y - 4 = 96 = Finding d 3z + (4z - 12) + (2z + 12) = Finding z f = 3y + 24 = Finding y Signup and view all the answers

Equation

A mathematical sentence that uses an equal sign (=) to show that two expressions are equal. It typically contains a variable (usually 'x') that represents an unknown value.

Solving an equation

To find the value of the unknown variable that makes the equation true. This is achieved by isolating the variable on one side of the equation.

Equation solving rules

The basic rules used to solve equations. These rules involve performing the same operation on both sides of the equation to maintain equality. Operations include addition, subtraction, multiplication, and division.

Equations with fractions

Equations that involve fractions. This requires understanding how to manipulate fractions in calculations.