Practice Exam Answers

The table can be used to determine the solution to the system of equations, 2 x minus 2 y is equal to 6 and 4 x plus 4 y is equal to 28 Original System Equivalent System Sum of Equations in Equivalent System Solution to System New System using Sum Solution to New System 2 x minus 2 y is equal 6; 4 x plus 4 y is equal to 28 4 x minus 4 y is equal 12; 4 x plus 4 y is equal to 28 8 x is equal to 40 4 x plus 4 y is equal to 28; 8 x is equal to 40 Which solution can be used to fill in both blanks in the table?

Bianca wrote the steps for her solution to the equation 2 point 3 plus 8 times open paren 1 point 3 x minus 4 point 7 5 close paren is equal to 629 point 9 She left out the description for the last step. Bianca's Solution Steps Resulting equations 1 Use the distributive property to simplify. 2 point 3 plus 10 point 4 x minus 38 is equal to 629 point 9 2 Combine like terms. 10 point 4 x minus 35 point 7 is equal to 629 point 9 3 Use the addition property of equality. 10 point 4 x is equal to 665 point 6 4 x is equal to 64 What is the missing step of her solution?

An exponential function f of x is reflected across the x -axis to create the function g of x Which is a true statement regarding f of x and g of x ?

The axis of symmetry for a quadratic equation can be found using the formula x is equal to negative b over 2 a , where A and b are coefficients in the quadratic equation and x represents the values along a vertical line on the coordinate plane. What is the equation when solved for A ?

Which number line represents the solution set for the inequality 3 x is less than negative 9 ?

What is the equation of the line in slope-intercept form that is perpendicular to the line y is equal to 3 fourths x minus 2 and passes through the point negative 12 comma 10 ?

Which statements are true about the graph of the system of linear inequalities? Choose two correct answers. y is greater than 3 x minus 4 y is less than or equal to 1 half x plus 1

Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for 3 dollars , and each cheeseburger sells for 3 point 50 dollars Which system of inequalities represents the number of hamburgers, h , and the number of cheeseburgers, c , he must sell to have sales of at least 80 dollars ?

Which graph represents a function?

A direct variation function contains the points negative 9 comma negative 3 and negative 12 comma negative 4 Which equation represents the function?

What is the x -value of the solution to the system of equations? 5 x plus 4 y is equal to 8 2 x minus 3 y is equal to 17

Which statement about f of x and its translation, g of x , is true? f of x is equal to 2 fifths to the x th power g⁡(x)=((2)/(5))^x−3

Timmy writes the equation f of x is equal to 1 fourth x minus 1 He then doubles both of the terms on the right side to create the equation g of x is equal to 1 half x minus 2 . How does the graph of g of x compare to the graph of f of x ?

Last week, Lindsay earned 10 dollars per hour plus a 60 dollars bonus for good job performance. She spends 1 fifteenth of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been 1 tenth of her paycheck. Which equation can be used to find h , the number of hours Lindsay worked last week?

A line that passes through the points negative 4 comma 10 and negative 1 comma 5 can be represented by the equation y is equal to negative 5 thirds open paren x minus 2 close paren Which equations also represent this line? Choose three correct answers.

Martin has a combination of 33 quarters and dimes worth a total of 6 dollars Which system of linear equations can be used to find the number of quarters, q , and the number of dimes, d , Martin has?

A sequence is defined recursively using the formula f of n plus 1 is equal to f of n minus 5 Which sequence could be generated using this formula?

Which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then decreases its speed, as time increases?

Which description of the graph of the linear inequality y is greater than 3 x minus 8 is correct?

Which linear function represents the line given by the point-slope equation y minus 8 is equal to 1 half times open paren x minus 4 close paren ?

To graph the equation 2 x plus 5 y is equal to 10 , Zeplyn draws a line through the points 5 comma 0 and 0 comma 2 What is the slope of the line represented by 2 x plus 5 y is equal to 10 ?

The function f of x is equal to 5 times 1 fifth to the x th power is reflected over the y -axis. Which equations represent the reflected function? Choose two correct answers.

An exponential growth function has an asymptote of y is equal to negative 3 Which might have occurred in the original function to permit the range to include negative numbers?

Consider the function represented by the equation x minus y is equal to 3 What is the equation written in function notation, with x as the independent variable?

Tickets to the school play cost $⁢8 for regular tickets and $⁢5 for student tickets. The number of regular tickets sold for Friday’s show was 10 more than half the number of student tickets sold. If $⁢296 was collected from ticket sales for Friday’s show, how many student tickets were sold?

Which is the graph of the sequence defined by the function f of open paren x plus 1 close paren is equal to 3 fifths f x when the first term in the sequence is 375 ?

Which table represents a linear function?

Which is a stretch of an exponential growth function?

Sianna bought 3 pens, 4 notebooks, and a calculator. The calculator cost 25 dollars If x represents the cost of each pen and y represents the cost of each notebook, which expression represents the amount of change Sianna should receive from 50 dollars ?

Which statements about the system are true? Choose two correct answers. y is equal to 1 third x minus 4 3 y minus x is equal to negative 7

Laurie is trying to stay within 10 feet of her current diving depth of negative 30 feet (with regard to sea level) so that the light is still good but she can be close to the sea life during her scuba dive. Which two equations can be used to find the minimum and maximum depths Laurie wants to stay between?

Karl rides his bicycle 120 feet in 10 seconds. How many feet does he ride in 1 minute?

What is the value of p in the linear equation 24 p plus 12 minus 18 p is equal to 10 plus 2 p minus 6 ?

What is the inverse of the function f of x is equal to x plus 3 ?

A ride at an amusement park has two options for cars, one that holds 6 passengers and one that holds 3 passengers. If the ride designer wants to make sure that each run holds at least 12 passengers, which graph represents the overall equation and shows the possible combinations of the number of 6 -passenger cars, x , and the number of 3 -passenger cars y ? (Not all points may apply to the scenario.)

Which point is on the line that passes through point cap r and is perpendicular to line PQ ?