Math-8-Quater-1-all-quizzes

An expression is shown. 4^8 / 4^11 Christina evaluates the expression using these steps: Step 1: 4^11−8 Step 2: 4^3 Step 3: 4 x 4 x 4 Step 4: 64 Christina made a mistake. In which step did Christina first make a mistake? (Note the numbers or letters behind ^ are exponents)

Step 1

What is the most exact way to describe the type of number in the following statement: The amount of students in a class.

Whole

Select all possible ways to describe the type of number in the following statement. The temperature outside is 78 degrees.

Whole Rational Integer

Which of the following is a non-proportional relationship?

X 0 3 7 Y 8 5 1

Enter the value of x for the equation x^2 = 121

x = + 11

Solve for x: x^2 = 25/81 (Note the numbers or letters behind ^ are exponents)

x = + 5/9

What is the equation for the line represented

y = -x - 1

Select the equation for the graph shown

y = 1/2 x + 3

Which equation is represented in the graph?

y = 3/2 x + 1

The following table represents the initial rental deposit, and the daily fee for renting a car. Total days 1 day 3 day 7 day Total cost 135 205 345 Enter the equation for the cost of renting a car. y= _________x + __________ Enter the cost of renting the car for 8 days. $__________

y = 35x + 100 $ 380

Write a linear equation for the following scenario: The veterinarian charges $50 for the office visit and $35 and hour.

y = 35x + 50

Write a linear equation to find the total amount spent on the internet over a varying amount of months. The installation fee for internet is $90.00 and the monthly bill is $45.00.

y = 45x + 90

Select the correct equation for the relationship represented X 4 6 7 Y 24 36 42

y = 6x

What is the equation for the line represented

y = x − 2

Select all that are equal to 17,000. 1.7 * 10^4 1.7e4 1.7 * x^4 (Note the numbers or letters behind ^ are exponents)

yes yes no

Choose the graph that represents the scenario. The temperature when the sun goes down is 45 degrees and will fall an average of 10 degrees every hour.

| \ | \ | \ | \ | \ | \ | \ | \ | \ | \ | \ | \ | \ | \ | \ | \ |___ __ __ __ __ __ __ __ __ __\ __ __ _____ __ __ __ __ __ __

Select the irrational number

√2

Select True or False to indicate whether each statement is true. 1. All rational numbers are real numbers 2. Integers can be positive or negative 3. Some irrational numbers can be written as a fraction 4. Some rational numbers can continue on forever

1. True 2. True 3. False 4. True

Simplify the expression. 2^3 / 2^5 (Note the numbers or letters behind ^ are exponents)

1/4

Given the following data set, how many hours would someone have to work to earn $324.00. Hours worked (x) 3 5 6 Total income (y) 81 135 162

12

Use the equation y=25x - 35 to fill in the missing value in the table. x 2 4 7 10 y 15 65 _________ 215

140

Given the following data set, enter the amount of time it would take the driver to go 870 miles. Time in hours (x) 3 6 8 Total number of miles (y) 174 348 464

15 hours

Simplify the expression. 13^6 ( 5 + 8 )^4 / ( 14 − 1 )^8 (Note the numbers or letters behind ^ are exponents)

169

This graph shows a proportional relationship between the distance traveled by Tim on a bike ride and the number of hours for which he biked. Select the slope and the correct interpretation of the slope. Slope= ______________ The distance traveled by Tim is ___________, _________________ every hour.

2 2 miles

Select the correct way to represent the standard notation for 22.0041 × 10^12. (Note the numbers or letters behind ^ are exponents)

2,004,100,000,000

Select the expression that is equivalent to the expression shown. 5.6 × 10^35 / 2.0 × 10^27 (Note the numbers or letters behind ^ are exponents)

2.8 × 10^8

Select the correct way to represent the standard notation for 2 × 10^8. (Note the numbers or letters behind ^ are exponents)

200,000,000

Select the expression that is equivalent to the expression shown. ( 5.7 × 10^21 ) − ( 5.4 × 10^21 ) (Note the numbers or letters behind ^ are exponents)

3.0 × 10^20 (Note the numbers or letters behind ^ are exponents)

Mars is located at a distance of 8.97×10^13 centimeters from Earth. At the speed of light (2.99×10^10cm/sec) how long does it take a light signal (or radio message) to travel to mars?

3.0 × 10^3 seconds

Select the expression that is equivalent to 35 meters.

3.5 × 10^−2 km (Note the numbers or letters behind ^ are exponents)

Simplify the expression. [ 6^− 3 ⋅ ( 7 − 1 )^4 ]^2 (Note the numbers or letters behind ^ are exponents)

36

The graph below represents the cost to rent a surfboard. How long could you rent one if you have a total of $100 to spend?

4

Select the value of x for the equation x 3 = 64 / 125

4/5

Enter the value of m for the equation 7^m = 7^2 ⋅ 7^4 (Note the numbers or letters behind ^ are exponents)

6

A 10 kilometer run is 6.2 miles. Select the value that represents 6.2 miles as a fraction.

6 1/5

A coffee shop uses 9 cups of water and 112112 tablespoons of coffee to make their drinks. The ratio for the drinks is ____________ cups of water to 1 tablespoon of coffee.

6 cups

Use the graph to determine the mile per hour rate of the car.

62.5 mph

International fuel efficiency standards say that cars should increase by 35 miles to the gallon in the next 5 years. Find the rate of change of this scenario in MPG/YEAR.

7

Enter the equation for the total distance traveled in x hours. Time (x) 4 7 9 Distance traveled (y) 32 56 72 y= _________x + 24 Enter the distance traveled in 6 hours. __________miles

8x + 0 48 miles

To measure large areas like space, scientist use the distance that light travels in one year, which is 9,460,700,000,000 kilometers. Select the answer for how you would write this in scientific notation.

9.4607 × 10^12 km (Note the numbers or letters behind ^ are exponents)

Simplify the expression. ( 6 × 5 )^2 (Note the numbers or letters behind ^ are exponents)

900

Which graph represents the equation y = 21x + 3y = 21x + 3 ?

It intersects with (0,3) and (-1,1)

Select the graph that represents the equation y=x+1.

It intersects with (1,2) and (0,1)

Determine for each number whether it is a rational or irrational number. 1/ √16 √19 -3 3/4

Rational Irrational Rational

Amanda wants to know how much chocolate and flour to use when she makes large amounts of her cookie recipe. The recipe needs 1 cup of chocolate for every 3 cups of flour. Review her work and identify the error. Step 1: Write equation y=3x Step 2: Make a table Cups of chocolate 1 3 5 Cups of flour 3 12 20

She made a multiplying error in the table

Find the slope and y intercept for the line represented in the table X 2 4 5 Y 54 78 90

Slope: 12, Y intercept: 30

Use the graph to determine the total cost after 7 hours.

$225

Choose the graph that represents the equation y = − 3/2x − 1

(-2,2) (0,-1) and (2,-4)

Select the graph that represents the equation y= -3x + 4

(0,4) and (1,1)

Select the graph that represents the equation y = 23x − 3y = 23x − 3.

(3,-1) and (0,-3)

Select all integers.

-2, √4, 3

Select the value that represents the fraction 8/9 as a decimal.

.888¯

Select the choice that best represents the group of numbers described below: Whole numbers

0, 1, 2

Identify the correct numbers to complete the metric table chart and fill them in using the blanks provided. Deci 1.0 * 10^-1 Centi 1.0 * 10^-2 Milli 1.0 * 10^-3 (Note the numbers or letters behind ^ are exponents)

0.1 0.01 0.001

calculate the slope of the line

1

Shelly is studying the following problem. The distance from Earth to Venus is 2.61 × 10^8 km and the distance from Venus to Mercury is 5.79 × 10^7 km. What is the total distance from Earth to Mercury? Shelly solves the problem using these steps: Step 1: ( 2.61 × 10^8 ) + ( 5.79 × 10^7 ) Step 2: 5.79×107=57.9×108 Step 3: 57.9+2.61=60.51 Step 4: 6.051×109km6.051×109km Shelly made a mistake. In which step did Shelly first make a mistake? (Note the numbers or letters behind ^ are exponents)

Step 2

An expression is shown. [ ( 4 − 1 )^3 ]^4 Tim evaluates the expression using these steps: Step 1: [ 3^3 ]^4 Step 2: 3^7 Step 3: 3×3×3×3×3×3×33×3×3×3×3×3×3 Step 4: 2,1872,187 Tim made a mistake. In which step did Tim first make a mistake? (Note the numbers or letters behind ^ are exponents)

Step 2: 3^7 (Note the numbers or letters behind ^ are exponents)

Select all the statements that are true about line A and line B. Line A Line B X Y X Y 2 14.5 3 20.5 3 20.25 4 26.0 6 37.5 5 31.5

The slope of line A is 5.75 Line A has the larger value for slope.

Given the equation y = mx + b select all statements that apply.

The slope of the line is represented by m. The y-intercept is represented by b.

Select True or False to indicate whether each statement is true. 1.All rational numbers are real numbers 2.All rational numbers are integers 3.All integers can be positive or negative 4.Some rational numbers can continue on forever

True False True True