Quizizz Review for the Test Unit 7

1. (1 point) At a local basketball game, all tickets are the same price and souvenirs are the same price. Mr. Smith bought 4 tickets to this basketball game and 1 souvenir for a total of $37.25. Ms. Lockhart bought 7 tickets to the same game and 2 souvenirs for a total of $60.00. How much was a ticket to this game?

• A) $27.75

• B) $18.25

• C) $14.25

• D) $4.50

Answer explanation

Main Ideas/Understandigs:

* Equation (A) -> Mr. Smith's Details

* Equation (B) -> Ms. Lockhars's Details

* TWINS coefficients:

-> use (-) distributive property

-> add the equations

-> solve for 't'

2. (1 point) Lizbeth and Brian are both musicians who sell their songs online. During the same year, Lizbeth sold 9 ✖︎ 10^5 downloads of her songs and Brian sold 5 ✖︎ 10^4 downloads of his songs. How many times as much is the number of songs that Lizbeth sold than the number of songs that Brian sold?

• A) 95

• B) 85

• C) 18

• D) 1.8

Answer explanation

Main Ideas/Understandings:

* "How many more times" tells you to compare through a ratio (➗)

* Lizbeth (more) -> numerator

* Brian (less) -> denominator

3. (1 point) A school club purchases sandwiches and pretzels for lunch. Each sandwich costs $6.25 and each bag of pretzels costs $0.50. A total of 70 items (sandwiches and pretzels) were purchased for a total cost of $220. If s = the number if sandwiches and p = the number of pretzels, which system represents this situation?

• A) 𝑠 + 𝑝 = 70

  0.50𝑠 + 6.25𝑝 = 220

• B) 𝑠 + 𝑝 = 220

  6.25𝑠 + 0.50𝑝 = 220

• C) 𝑠 + 𝑝 = 70

  6.25𝑠 + 0.50𝑝 = 220

• D) 𝑠 − 𝑝 = 70

  6.25𝑠 + 0.50𝑝 = 220

Answer explanation

Main Ideas/Understandings:

* Equation (A) -> Number of Items (sandwiches and pretzels is 48)

* Equation (B) -> Price of items

($perSandwich and $perPretzel is Total Cost)

4. (1 point) What is the value of the expression shown?

• A) 0.3 ✖︎ 10^9

• B) 3 ✖︎ 10^9

• C) 0.3 ✖︎ 10^5

• D) 3 ✖︎ 10^5

Answer explanation

Main Ideas/Understandings:

* Positive exponent -> Large Number

* Fraction -> The numerator divides the Denominator

* Dividing Scientific Notation:

-> Divide coefficients

-> Subtract exponents

The graph of a system of equations is shown below. What system of equations represents the graph?

• A)

• B)

• C)

• D)

Answer explanation

Main Ideas/Understandings:

* Focus on ONE line at a time:

-> Using 2 perfect points, find the slope AKA coefficient (m)

-> Looking at the y-axis, find the y-intercept AKA constant (b)

***If it's above the origin, b is positive.

-> Match (m) and (b) to an answer choice (eliminate the rest)

*REPEAT for the OTHER line

6. (1 point) The closest distance between Earth and Venus is approximately 4.47 ✖︎ 10^6 miles. The fastest rocket leaving Earth travels at an average speed of approximately 4.8 ✖︎ 10^4 miles per hour. At that rate, which expression could be used to determine the approximate number of hours it would take the rocket to travel that distance?

• A) (4.47 ✖︎ 10^6) ÷ (4.8 ✖︎ 10^4)

• B) (4.8 ✖︎ 10^4) − (4.47 ✖︎ 10^6)

• C) (4.8 ✖︎ 10^4) ÷ (4.47 ✖︎ 10^6)

• D) (4.47 ✖︎ 10^6) − (4.8 ✖︎ 10^4)

Answer explanation

Main Ideas/Understandings:

* Time = Distance Quantity➗ Speed Quantity

7. (1 point) How many solutions does the system of equations below have?

𝑥 + 8𝑦 = 16

𝑥 + 4𝑦 = 8

• A) 2

• B) 1

• C) 0

• D) Infinite

Answer explanation

Main Ideas/Understandings:

* TWINS coefficients:

-> switch one equation

-> add the equations

-> solve for 'y'

-> substitute to solve for 'x'

!!! 2 solutions isn't a possibility !!!

!!! ( x , y ) is ONE solution !!!

8. (1 point) A system of equations is shown below. What is the solution to the system of equations?

10𝑥 + 4𝑦 = − 30

5𝑥 − 4𝑦 = −15

• A) (0, −3)

• B) (−3, 0)

• C) (15, 0)

• D) (-45, 15)

Answer explanation

Main Ideas/Understandings:

* OPPOSITE coefficients:

-> add the equations

-> solve for 'x'

-> substitute into either equation to solve for 'y'

ALTERNATIVE:

-> substitute each ORDERED PAIR into both (A) and (B) until you find the match (left = right)

Which expression is equivalent to:

• A)

• B)

• C)

• D)

Answer explanation

Main Ideas/ Understandings:

* Use calculator to make the main expression and the answer choices into a number.

* your answer is the only one that matches the number of the main expression

Linear function K passes through points (-4, 8) and (4, 4). What is the rate of change of function K?

• A)

• B)

• C)

• D)

Answer explanation

Main Ideas/Understandings:

-> Using the 2 perfect points, find the rate of change (m)

!!!consider the sign when matching it to the answer choice!!!