Expressions, Equations, and Functions

Evaluate each expression. (Lesson $1-2$)

$3\cdot 5+1-2$

Determine whether each relation is a function.

Evaluate each expression. (Lesson $1-2$)

$14÷2\cdot 6-5^2$

Determine whether each relation is a function

Evaluate each expression. (Lesson $1-2$)

$\frac{3\cdot 9^2-3^2\cdot 9}{3\cdot 9}$

Determine whether each relation is a function

$\left\{\left(8,4\right),\left(6,3\right),\left(4,2\right),\left(2,1\right),\left(0,0\right)\right\}$

GEOMETRY Write an expression for the perimeter of the figure. (Lesson 1-1)

If $f\left(x\right)=2x+4$ and $g\left(x\right)=x^2-3$, find each value

$f\left(-3\right)$ 

If $f\left(x\right)=2x+4$ and $g\left(x\right)=x^2-3$, find each value

$g\left(2\right)$

Andrew took a survey of his friends to find out their favorite type of music. Of the 34 friends surveyed, 22 said they liked rock music the best. What percent like rock music the best?

If $f\left(x\right)=2x+4$ and $g\left(x\right)=x^2-3$, find each value

$f\left(0\right)$

If $f\left(x\right)=2x+4$ and $g\left(x\right)=x^2-3$ then find the following value.

$g\left(-4\right)$

If $f\left(x\right)=2x+4$ and $g\left(x\right)=x^2-3$ then find the following value.

$f\left(m+2\right)$

If $f\left(x\right)=2x+4$ and $g\left(x\right)=x^2-3$ then find the following value.

 $g\left(3p\right)$

A teacher claims that the relationship between number of hours studied for a test and test score can be described by $g\left(x\right)=45+9x$ where $x$ represents the number of hours studied. Graph this function.

Identify the hypothesis and conclusion of each statement.

If Orlando practices the piano, then he will perform well at his recital.

Identify the hypothesis and conclusion of each statement.

 If $\mathbf{2}\mathit{x}\mathbf{+}\mathbf{7}\mathbf{>}\mathbf{31}\mathbf{,}$ then $\mathit{x}\mathbf{>}\mathbf{12}$.

Find a counterexample for each conditional statement.

If it is raining outside, then you will get wet.

Find a counterexample for each conditional statement.

If $\mathbf{4}\mathit{x}\mathbf{-}\mathbf{11}\mathbf{=}\mathbf{53}\mathbf{,}$ then $\mathit{x}\mathbf{<}\mathbf{16}$.

Write an algebraic expression for each verbal expression.

1. six more than a number

Write an algebraic expression for each verbal expression.

twelve less than the product of three and a number

Write an algebraic expression for each verbal expression.

four divided by the difference between a number and seven

Evaluate each expression.

$32÷4+2^3-3$

Evaluate each expression.

$\frac{{\left(2\cdot 4\right)}^2}{7+3^2}$

Evaluate each expression.

$13+\left(16-4^2\right)$

Evaluate each expression. Name the property used in each step.

$\frac{2}{9}\left[9÷\left(7-5\right)\right]$

Evaluate each expression. Name the property used in each step.

$37+29+13+21$

Rewrite each expression using the distributive property. Then simplify.

$4\left(x+3\right)$

Rewrite each expression using the distributive property. Then simplify.

$\left(5p-2\right)\left(-3\right)$

Write and evaluate an expression for the total typical number of tickets sold by all three locations A, B, and C in four weeks.

Find the solution of the equation $3x-9=12$ if the replacement sets are $x:\left\{1,3,5,7,9\right\}$ and $y:\left\{2,4,6,8,10\right\}$.

Find the solution of each equation if the replacement sets are $x:\left\{1,3,5,7,9\right\}$ and $y:\left\{2,4,6,8,10\right\}$.

$y^2-5y-11=13$

The ABC Cell Phone Company offers a plan that includes a flat fee of $\backslash ( 29$ per month plus a $\backslash ) 0.12$ charge per minute. Write an equation to find $C$, the total monthly cost for $m$ minutes. Then solve the equation for $m=50$.

Express the relation shown in each table, mapping, or graph as a set of ordered pairs.

Express the relation shown in each table, mapping, or graph as a set of ordered pairs.

Determine the domain and range for the relation

$\left\{\left(2,5\right),\left(-1,3\right),\left(0,-1\right),\left(3,3\right),\left(-4,-2\right)\right\}$

(F) $D:\left\{\left(2,-1,0,3,-4\right)\right\},R:\left\{\left(5,3,-1,3,-2\right)\right\}$

(G) $D:\left\{\left(5,3,-1,3,-2\right)\right\},R:\left\{\left(2,-1,0,3,4\right)\right\}$

(H) $D:\left\{\left(0,1,2,3,4\right)\right\},R:\left\{\left(-4,-3,-2,-1,0\right)\right\}$

(J) $D:\left\{\left(2,-1,0,3,-4\right)\right\},R:\left\{\left(2,-1,0,3,4\right)\right\}$

Determine whether the relation $\left\{\left(2,3\right),\left(-1,3\right),\left(0,4\right),\left(3,2\right),\left(-2,3\right)\right\}$ is a function.

If $f\left(x\right)=5-2x$ and $g\left(x\right)=x^2+7x$, find each value.

$g\left(3\right)$

If $f\left(x\right)=5-2x$ and $g\left(x\right)=x^2+7x$, find each value.

$f\left(-6y\right)$

Identify the hypothesis and conclusion of each statement.

If the temperature goes below $32°\text{F}$, it will snow outside.

Identify the hypothesis and conclusion of each statement.

If Ivan breaks his arm, he will need to go to the hospital.

Find a counterexample for each conditional statement.

If you go to the pool, you will get wet.

Find a counterexample for each conditional statement.

If a quadrilateral has one pair of sides that are parallel, then it is a square.

Evaluate the expression $2^6$.

A 12

B 32 

C 64

D 128

Monica claims: If you are in the drama club, then you are also on the academic team. Which student is a counterexample to this statement?

Let y represent the number of yards. Which algebraic expression represents the number of feet in y?

A $y-3$

B $y+3$

C $3y$

D $\frac{3}{y}$

What is the domain of the following relation?

$\left\{(1,3),(-6,4),(8,5)\right\}$

F $\left\{3,4,5\right\}$

G $\left\{-6,1,8\right\}$

H $\left\{-6,1,3,4,5,8\right\}$

I $\left\{1,3,4,5,8\right\}$

The table shows the number of some of the items sold at the concession stand on the first day of a soccer tournament. Estimate how many items were sold from the concession stands throughout the four days of the tournament.

A 1350 items

B 1400 items 

C 1450 items

D None of the options

There are 24 more cars than twice the number of trucks for sale at a dealership. If there are 100 cars for sale, how many trucks are there for sale at the dealership?

F 28

G 32

H 34

J 38

Refer to the relation in the table below. Which of the following values would result in the relationship not being a function?

$\begin{array}{l}\mathrm{A}-1\\ \mathrm{B}3\\ \mathrm{C}7\\ \mathrm{D}8\end{array}$