2021 fall Precalc

1

What is the solution set of the equation

1

The fuctions f(x), g(x) and h(x) are shown. Which statement is accurate?

1

The expression

1

Wht is the solution to

1

What is the completely factored form of

1

Mrs. Nelson is buying folding chairs that are on sale for $10. If she has $50, which inequality can be solved to show the number of chairs c she can buy?

1

Find the union and intersection of the pair of sets. M = {1,6, 8} ; N = {3, 6, 8, 14, 15}

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What are the x and y intercept

1

Multiply (x + 7)(x - 7)

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Factor

1

Factor completely

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x(y - 1) + y(y - 1)

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Which of the following graphs shows the graph of this equation? y + 1 = (x - 1)

1

The city of Plantation plans to build a new community park with a public swimming pool. In this diagram we see the area of the proposed swimming pool and the stone deck that will surround it. If the area of the deck region is 24 square units, find the value for x

1

A family is on vacation in Key West and decides to rent bicycles to tour the island. The rental fee for a bike and helment is $27.00 per person for each hour. There are four people in the family renting bicycles. Which input/output (I/O) model correctly displays the domain and range of the situation where c, the total cost for the bicycle rental is a function of h, the number of hours the bikes are rented?

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Divde and simplify your answer

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John is considering accepting one of two sales positions. ABC company offers a yearly salary of $45,000. XYZ company offers a yearly salary of $38,000 plus a 2% annual commission on sales. For what amount of sales s is the salary at XYZ company greater than the salary at ABC company?

1

The values in the table show a linear relationship. Find the slope.

1

Add

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The table compares the gas mileage of a car to the distance the car can travel on one tank of gas. A scatter plot of the data is also shown. For this line of best fit, predict what the gas mileage must be for a car to travel 250 miles.

1

What are the missing exponents in the equation below? Give the missing exponent on the left side first.

1

Multiply

1

Employees at the dairy factory are packing cartons of eggs. One carton can hold x eggs. Today the employees have E eggs to pack. When they have finished, they have packed C cartons and have 3 eggs left over. Use the following equation to find C, the number of cartons that were packed.

1

Detrermine which of the following graphs represent a function.

5

Simplify the expression

5

Simplify the following expression; if a and b do not equal 0

1

Circle J is located in the first quadrant with center (a, b) and radius s. Felipe transforms Circle J to prove that it is similar to any circle centered at the origin with radius t.

2

Pick any option that is true

5

A homeowner stocked his pond with fish. The number of fish, F, increases according to the equation,
t is the time in years. What is the approximate number of fish after 10 years?

5

How many x-intercepts does the graph of

5

What is the solution to

5

What is the value for a + b - 2c for a = 3, b = 1, and c = -3.

5

Substitute -3 for x in each of the equations. Identify the value of y in each case.

y = -10
y = 8
y = -3
y = -8

7

Classify each equation based on its form.

x + 5y = -3
y - 2 = 5(x - 3)
y = 2x + 10

slope-intercept form
point-slope form
standard form

6

Write the equation in standard form.

5

Use the vertical line test to determine whether each graph represents a function. Categorize each graph appropriately.

Is a function (passes the vertical line test)
Is not a function (fails the vertical line test)

5

Write the polynomial in factored form. Check by multiplication.

5

Evaluate the expression for the given values of the variables. Enter only a number.
x = 1 and y = -2

5

Identify which is NOT a cubic expression.

5

Use Your Vocabulary: Identify the coefficent of each cubic term.

-3
2
1
-2
-5
6

What is the solution set of the equation

The fuctions f(x), g(x) and h(x) are shown. Which statement is accurate?

The expression

Wht is the solution to

What is the completely factored form of

Mrs. Nelson is buying folding chairs that are on sale for $10. If she has $50, which inequality can be solved to show the number of chairs c she can buy?

Find the union and intersection of the pair of sets. M = {1,6, 8} ; N = {3, 6, 8, 14, 15}

What are the x and y intercept

Multiply (x + 7)(x - 7)

Factor

Factor completely

x(y - 1) + y(y - 1)

Which of the following graphs shows the graph of this equation? y + 1 = (x - 1)

The city of Plantation plans to build a new community park with a public swimming pool. In this diagram we see the area of the proposed swimming pool and the stone deck that will surround it. If the area of the deck region is 24 square units, find the value for x

Divde and simplify your answer

John is considering accepting one of two sales positions. ABC company offers a yearly salary of $45,000. XYZ company offers a yearly salary of $38,000 plus a 2% annual commission on sales. For what amount of sales s is the salary at XYZ company greater than the salary at ABC company?

The values in the table show a linear relationship. Find the slope.

Add

The table compares the gas mileage of a car to the distance the car can travel on one tank of gas. A scatter plot of the data is also shown. For this line of best fit, predict what the gas mileage must be for a car to travel 250 miles.

What are the missing exponents in the equation below? Give the missing exponent on the left side first.

Multiply

Employees at the dairy factory are packing cartons of eggs. One carton can hold x eggs. Today the employees have E eggs to pack. When they have finished, they have packed C cartons and have 3 eggs left over. Use the following equation to find C, the number of cartons that were packed.

Detrermine which of the following graphs represent a function.

Simplify the expression

Simplify the following expression; if a and b do not equal 0

Circle J is located in the first quadrant with center (a, b) and radius s. Felipe transforms Circle J to prove that it is similar to any circle centered at the origin with radius t.

Pick any option that is true

A homeowner stocked his pond with fish. The number of fish, F, increases according to the equation, t is the time in years. What is the approximate number of fish after 10 years?

How many x-intercepts does the graph of

What is the solution to

What is the value for a + b - 2c for a = 3, b = 1, and c = -3.

Substitute -3 for x in each of the equations. Identify the value of y in each case.

Classify each equation based on its form.

Write the equation in standard form.

Use the vertical line test to determine whether each graph represents a function. Categorize each graph appropriately.

Write the polynomial in factored form. Check by multiplication.

Evaluate the expression for the given values of the variables. Enter only a number.x = 1 and y = -2

Identify which is NOT a cubic expression.

Use Your Vocabulary: Identify the coefficent of each cubic term.

A homeowner stocked his pond with fish. The number of fish, F, increases according to the equation,
t is the time in years. What is the approximate number of fish after 10 years?

Evaluate the expression for the given values of the variables. Enter only a number.
x = 1 and y = -2