Equations and Inequalities

Expressions, Equations, and Inequalities

By SIRVERA COX

Multiple Choice

A numeric expression is shown.

$$5^2-6\left(4^2-10\right)-3$$

Which value is equivalent to the expression shown?

• 19

• -11

• 7

• -14

Multiple Choice

Which expression is equivalent to $$10+5^4\ ?$$

• $$10+5\ •\ 4$$

• $$\left(10+5\right)^4$$

• $$\left(10+5\right)\ •\ 4$$

• None of these

Multiple Choice

Which expression is equivalent to $$1,000\ +\ 196$$ ?

• $$10^2+7\cdot28$$

• $$10^3+14^2$$

• $$100^3+7\cdot28$$

• $$100^2+14^2$$

Multiple Choice

Which expression is NOT equivalent to $$\frac{1}{2}\cdot\left(x-6\right)$$ ?

• $$\frac{1}{2}x-6$$

• $$\frac{1}{2}x-\frac{6}{2}$$

• $$\frac{x}{2}-3$$

• $$\frac{x-6}{2}$$

Hotspot

Which two expressions are equivalent? Select TWO correct answers.

Multiple Choice

Which pair of expressions are equivalent?

• $$3+5a+\left(-5\right)$$ $$3+a$$

• $$2a+\frac{1}{5}\left(5a\right)$$ $$2a+1$$

• $$-\frac{1}{8}\left(-8a\right)$$ $$-a$$

• $$3a+8a+\left(-8a\right)$$ $$3a$$

Multiple Choice

Which expression is equivalent to $$\left(3p+2\right)\cdot7$$ ?

• $$3p+9$$

• $$3p+14$$

• $$21p+2$$

• $$21p+14$$

Multiple Choice

Which expression is equivalent to $$w-\frac{1}{4}\left(4\right)$$ ?

• $$w-0$$

• $$w-1$$

• $$-\frac{1}{4}w\left(4\right)$$

• $$\frac{3}{4}w\left(4\right)$$

Multiple Choice

Which expression is equivalent to $$38\left(251m-45\right)$$ ?

• $$38\cdot251m-38\cdot45$$

• $$38\left(206m\right)$$

• $$-7\left(251m\right)$$

• $$38\cdot251m-45$$

Multiple Choice

An equation is shown.

$$8x-2x=48$$

What is the solution to the equation?

• $$x=-8$$

• $$x=\frac{1}{8}$$

• $$x=8$$

• $$x=-\frac{1}{8}$$

Multiple Choice

An inequality is shown.

$$9w<108$$

What is the solution to this inequality?

• $$w>\frac{1}{12}$$

• $$w<12$$

• $$w<\frac{1}{12}$$

• $$w>12$$

Multiple Choice

Kelli walks no more than 25 dogs on Mondays. Ms. Lincoln has 5 dogs that Kelli walks. The inequality shown can be used to find x, the number of dogs Kelli can walk on Monday in addition to Ms. Lincoln's dogs.

$$x+5\le25$$

Which inequality represents all possible values of x ?

• $$x\ge20$$

• $$x\le20$$

• $$x\ge30$$

• $$x\le30$$

Multiple Choice

Mr. Estrada's car can travel no more than 510 miles on one full tank of gasoline. After filling up the tank with gasoline, he traveled 194 miles in the car. Which inequality represents all possible values of m, the number of miles Mr. Estrada can travel in the car with the remaining gasoline in the tank?

• $$m\ge484$$

• $$m\ge316$$

• $$m\le484$$

• $$m\le316$$