Expressions, Equations, and Functions

Evaluate each expression. (Lesson 1-2)

If $p=4$ then $3p+4=?$

Which point on the number line represents a number whose square is less than itself?

A. $A$                    C. $C$

B. $B$                    D. $D$

Determine which of the following relations is a function.

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

G $\left\{(2,-1),(4,-1),(2,6)\right\}$

H $\left\{(-3,-4),(-3,6),(8,-2)\right\}$

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

What is the value of x?

SHORT RESPONSE Camille made 16 out of 19 of her serves during her first volleyball game. She made 13 out of 16 of her serves during her second game. During which game did she make a greater percent of her serves?

Solve each equation.

$x=\frac{27+3}{10}$

Solve each equation.

$m=\frac{3^2+4}{7-5}$

Solve each equation.

$z=32+4(-3)$

SCHOOL SUPPLIES The table shows the prices of some items Tom needs. If he needs 4 glue sticks, 10 pencils, and 4 notebooks, write and solve an equation to determine whether Tom can get them for under $ 10. Describe what the variables represent.

Write a verbal expression for each algebraic expression.

$4y+2$

Write a verbal expression for each algebraic expression.

$\frac{2}{3}x$

Write a verbal expression for each algebraic expression.

$a^{2}b+5$

Evaluate each expression. (Lesson 1-2)

If $x=3$ then $6x–5=?$

Evaluate each expression. (Lesson 1-2)

If $n=-1$ then $2n+1=?$

Evaluate each expression. (Lesson 1-2)

If $q=7$ then $7q–9=?$

Evaluate each expression. (Lesson 1-2)

If $k=-11$ then $4k+6=?$

If $y=10$, then $8y-15= ?$

If we have enough sugar, then we will make cookies.

Identify the hypothesis and conclusion of each statement.

If $16z-5=43$, then $z=3$.

Write a conditional in If-then form.

Identify the hypothesis and conclusion of each statement. Then write each statement in If-then Form.

The neon light is on when the parlor is open.

Identify the hypothesis and conclusion of each statement. Then write each statement in if-then form.

A circle with a radius of $w-4$ has a circumference of $2\pi \left(w-4\right)$.

Determine a valid conclusion that follows from the statement If one number is negative and another is positive, then their product must be negative. If a valid conclusion does not follow, write no valid conclusion and explain why.

The numbers are –3 and 4

Determine a valid conclusion that follows from the statement If one number is negative and another is positive, then their product must be negative. If a valid conclusion does not follow, write no valid conclusion and explain why.

The product is 10.

Identify the hypothesis and conclusion of each statement.

If the game is on Saturday, then Eduardo will play.

Identify the hypothesis and conclusion of each statement.

If the chicken burns, then it was left in the oven too long.

Example 1 Identify the hypothesis and conclusion of each statement.

If $52-4x=28$ then $x=6$

Give the counterexample of the given conditional statement.

If $ab>0$ then $a$ and $b$ are greater than 0.

Example 2: Identify the hypothesis and conclusion of each statement. Then write each statement in if-then form.

Alisa plays with her dog in the yard when the weather is nice.

If a clothing store is selling wool coats, then it must be December.

Example 2: Identify the hypothesis and conclusion of each statement. Then write each statement in if-then form.

Two lines that are perpendicular form right angles.

Example 2: Identify the hypothesis and conclusion of each statement. Then write each statement in if-then form.

6. A prime number is only divisible by one and itself.

Example 3 Determine a valid conclusion that follows from the statement below for each given condition. If a valid conclusion does not follow, write no valid conclusion and explain why.

If a number is a multiple of 10, then the number is divisible by 5.

The number is divisible by 5.

Determine a valid conclusion that follows from the statement below for each given condition. If a valid conclusion does not follow, write no valid conclusion and explain why.

If a number is a multiple of 10, then the number is divisible by 5.

The number is 5010.

Example 3 Determine a valid conclusion that follows from the statement below for each given condition. If a valid conclusion does not follow, write no valid conclusion and explain why.

If a number is a multiple of 10, then the number is divisible by 5.

The number is 955.

Find a counterexample for each conditional statement.

If Jack is at the park, then he is flying a kite.

Example 4 Find a counterexample for each conditional statement.

If a teacher assigns a writing project, then it must be more than two pages long.

Example 4 Find a counterexample for each conditional statement.

If $\left|x\right| = 7$ then $x=7$

Find a counterexample for each conditional statement.

If a number y is multiplied by $\frac{\mathbf{1}}{\mathbf{3}}\mathbf{,}$ then $\frac{\mathbf{1}}{\mathbf{3}}\mathit{y}\mathbf{<}\mathit{y}$.

Example 1 Identify the hypothesis and conclusion of each statement.

If a team is playing at home, then they wear their white uniforms.

Example 1 Identify the hypothesis and conclusion of each statement.

If you are in a grocery store, then you will buy food.

Identify the hypothesis and conclusion of each statement.

If $2n-7>25$ then $n>16$.

Example 1 Identify the hypothesis and conclusion of each statement.

If $\mathit{x}$ equals $\mathit{y}$ and $\mathit{y}$ equals $\mathit{z}$, then $\mathit{x}$ equals $\mathit{z}$.

Identify the hypothesis and conclusion of each statement.

If it is not raining outside, we will walk the dogs.

Example 1 Identify the hypothesis and conclusion of each statement.

If you play basketball, then you are tall.

Identify the hypothesis and conclusion of each statement.

Then write each statement in if-then form.

Lamar's third-period class is art.

Example 2 Identify the hypothesis and conclusion of each statement.

Then write each statement in if-then form.

Joe will go to the mall after class.

Identify the hypothesis and conclusion of each statement.

Then write each statement in if-then form.

For $x=4,6x-10=14$

Example 2 Identify the hypothesis and conclusion of each statement.

Then write each statement in if-then form.

$5m-8<52$ when $m<12$.

Identify the hypothesis and conclusion of each statement.

Then write each statement in if-then form.

A rectangle with sides of equal length is a square.

Example 2 Identify the hypothesis and conclusion of each statement.

Then write each statement in if-then form.

The sum of two even numbers is an even number.