Algebra 1 EOC Review #1
A system of equations is graphed below.What are the solutions to the system? (0, 5.6) and (0, 13) (0, 13) and (16, 1) (4, 10) and (7, 7.75) (16, 1) and (10, 0) Which of the following are factors of the equation when written in factored form?2a2 + 8a - 15 = 3a - 3 Factor a + 4 2a - 3 Not a Factor a - 4 2a - 9 2a + 3 2a + 9 Kelli recorded the amount of money she earned, y, for hours worked, x, in the table shown. Fill in the blanks to correctly complete the sentences.Word bank: blank #1: increasing decreasingblank #2: linear quadratic exponentialblank #3: (1, 15) (0, 1) (0, 0) The function is increasing. The function is linear. The y-intercept is (0, 0). The table shows the distances that schools will travel to attend a field trip to the state capitol. School 7 has to travel 15 miles. If this outlier is added to the data, which is a true statement about how it changes the data in the table? Select all statements that apply. The data is less spread. The data is more spread. Both the median and the mean change. There is no change in the median and the mean. There is no change in the spread of the data. The median stays the same, and the mean changes. The median changes, and the mean stays the same. The formula for the area of a trapezoid is A = 1 + b2)h. Solve for b1. Which equation is a correct value for b1? The area, in square units, of a rectangle is represented by 6x3 - 2x2 + 4x. If the width, in units, is 2x, what is the length, in units? Enter the expression that represents the length, in units, in the box. (Do not type any spaces in your answer.) The area, in square units, of a rectangle is represented by 6x3 - 2x2 + 4x. If the width, in units, is 2x, what is the length, in units?Enter the expression that represents the length, in units, in the box. (Do not type any spaces in your answer.) 3x2-x+2 Which student correctly solved this expression? Joe says the answer isbecause the exponents should be added. Kerrie says the answer isbecause the exponents should be added. Alex says the answer isbecause the exponents should be multiplied. Tracy says the answer isbecause the exponents should be multiplied. This is the graph of y = f(x).Which of the following is the graph of y = 2f(x) - 1? A residual is defined as the difference between the actual value of the dependent variable and the value predicted by the model. Which graph best represents a relationship that minimizes residuals? The ordered pairs in the table are possible solutions to the given equations.Match each ordered pair to the equation for which it is a solution. Ordered pairs may be used more than once. -2x + 5y = 10 y = 2(3)^x Neither (-5, 0) (-5, 0) (0, -5) (0, -5) (0, 2) (0, 2) (0, 2) (1, 6) (1, 6) A police department captured 30 speeds on radar and organized their data in the box plot shown.What can be inferred from the data? Selectallthat apply. The mean is equal to the median. The mean is probably less than 30 mph. The mean is probably more than 30 mph. If an officer captures an additional speed of 70 mph, the mean must change. If an officer captures an additional speed of 70 mph, the median must change. Which equation completes the square to create an equivalent to x2 + 10x + 13 = 0 in the form (x - p)2= q?