Review - SSE, NRN,APR.1.1,CED.1.1,CED.1.4,REI.2.3, & SID.1.1

A ball is tossed into the air. The quadratic function

ℎ(𝑡) = −16𝑡 ² + 14𝑡 + 5 represents the situation, where 𝑡 represents the time, in seconds, after the ball is tossed and ℎ(𝑡) represents the height of the ball, in feet. Which of the following statements is NOT true?

• The constant term represents the height from which the ball was tossed.

• The constant term represents the height from which the ball was tossed.

• The leading coefficient indicates that the graph of the parabola that represents the ball’s height over time will open in an upward direction.

• The graph of the parabola that represents the ball’s height over time will have a relative maximum.

Three expressions are shown below, The expression

3𝑥² + 30𝑥 − 72 is equivalent to which expressions below.

I. 3(𝑥² + 10𝑥 − 24)

II. 3(𝑥 − 6) (𝑥 − 4)

III. 3𝑥 (𝑥 + 10) – 72

.

• I and II, only

• I and III, only

• II and III, only

• I, II, and III

Which equation has the same solutions as 𝑓(𝑥) = 3𝑥² − 2𝑥 − 5?

• 𝑓(𝑥) = (3𝑥 − 5) (𝑥 + 1)

• 𝑓(𝑥) = (3𝑥 + 5) (𝑥 − 1)

• 𝑓(𝑥) = (3𝑥 + 1) (𝑥 – 5)

• 𝑓(𝑥) = (3𝑥 − 1) (𝑥 + 5)

Which of the following statements is not always true?

• The product of a nonzero rational number and irrational number is irrational.

• The product of two irrational numbers is irrational.

• The sum of two rational numbers is rational.

• The sum of a rational number and an irrational number is irrational.

LeBron attempted to solve the following equation.

His work is shown below.

Step 1: 4𝑥 − 1 = 4 + 𝑥

Step 2: 3𝑥 − 1 = 4

Step 3: 3𝑥 = 3

Step 4: 𝑥 = 1

Based on the information provided, which statement explains why his solution is incorrect?

• He forgot to multiply 𝑥 by 2 to get Step 1.

• He added 𝑥 to both sides of the equation to get Step 2 instead of subtracting 𝑥.

• He subtracted 1 on both sides of the equation to get Step 3 instead of adding 1.

• He multiplied by the reciprocal of 3 to get 𝑥 = 1 in Step 4.

Solve ab - 8 = 3b for b. Select solution below.

• b = (a - 8) / 3

• b = (a-3) / 8

• b = a / (b-8)

• b = 8 / (a-3)

Which of the following inequalities is equivalent to 5a + 4 < 19?

• a < 3

• a < 5

• a > 3

• a < 10

Consider the following polynomial functions.

f (𝑎) = (𝑎² + 2𝑎 − 7) and 𝑔(𝑎) = (− 𝑎 + 5). Which of the following statements about the polynomial functions are true? Select all that apply.

• The expression that represents the sum of the polynomials is a first-degree polynomial.

• The expression that represents the difference of the polynomials illustrates that polynomials are closed under subtraction.

• The sum of f(𝑎) and 𝑔(𝑎) can be represented by the expression

  𝑎² + 𝑎 − 2.

• The difference of f(𝑎) and 𝑔(𝑎) can be represented by the expression 𝑎² + 𝑎 − 12.

• The product of f(𝑎) and 𝑔(𝑎) can be represented by the expression –𝑎³. + 3𝑎² + 17𝑎 − 35.

3b^1/4 * b^2/4

• 3b^3/4

• 3b^1/4

• 3b^2/4

• 3b^-1/4

Kegan wants to buy a new skateboard that will cost $140. So far, Kegan has saved $30 toward the purchase of the skateboard. To raise the remaining money needed, Kegan mows his neighbor’s lawn and charges $10 each time he completes the job. Where x, is the number of times Kegan mows his neighbor’s lawn.

Choose the equation that represents the situation above? And, the number of times Kegan must mow his neighbor’s lawn to earn enough money to buy the skateboard?

• $30x +10 = 140 ; x = 13

• $10x + $30 = 140 ; x= 22

• $140 +10x = $30 ; x = 10

• $30 + 10x = $140 ; x = 11