Adding and Subtracting Matrices — Cumulative exam Answers

Which value must be added to the expression x2 – 3x to make it a perfect-square trinomial?

What are the solutions of the equation 9x4 – 2x2 – 7 = 0? Use u substitution to solve.

Solve for in the equation .

Which statement describes the system of equations?

What is the product?

Jordan has a jar of quarters. When he has 60 quarters in the jar, the jar weighs 52 ounces. When there are 125 quarters in the jar, the jar weighs 65 ounces. What is the weight of the empty jar?

Which equation is the inverse of y = x2 + 16?

The scatterplot shows the ages and finishing times of seven men who ran a charity 5K run. Use the labeled points to create a linear model that predicts the race time (y) of a man of any age (x). Which equation represents this linear model?

At a farmer’s market, a basket of strawberries costs $20 and a basket of peaches costs $18. On Saturday, 23 baskets were sold and $430 collected. If x represents the number of baskets of strawberries and y represents the number of baskets of peaches, how many baskets of peaches were sold on Saturday?

Jayden used the following steps to simplify the given expression. Step 1: Step 2: Step 3: Step 4: Step 5: What property of real numbers was used to transition from step 2 to step 3?

Aaliyah, Julio, Dan, and Miriam are each studying sets of data. Aaliyah is working with 14 data pairs with a correlation coefficient of 0.9. Julio is working with 13 data pairs with a correlation coefficient of –0.8. Dan is working with 10 data pairs with a correlation coefficient of 0.1. Miriam is working with 15 data pairs with a correlation coefficient of –0.2. For which two data sets is a linear regression model reasonable?

What is the approximate value of a local maximum for the polynomial?

Juan jogs each day from his house to a local park, and then he jogs back along the same route. On his way to the park, he averages 4 miles per hour. On his way home, he averages 6 miles per hour. If the total trip takes hours, which equation can be used to find x, the distance in miles from Juan’s house to the park? Distance (mi)Rate (mi/hr)Time (hr)Trip to Parkx4 mph Trip to Homex6 mph

A cleaning solution is made from vinegar, lemon juice, and water. The table below shows the part of the total solution that is in each element. Solution Components Solution ASolution BSolution CVinegar0.10.20.4Lemon Juice0.150.20.1Water0.750.60.5Mr. Allen needs 100 mL of a solution that is 30% vinegar, 15% lemon juice, and 55% water. How much of solution A will Mr. Allen need to make his cleaning solution?

Which graph represents the same relation as the rule y = 2x, for all real numbers x?

What is the explicit formula for the arithmetic sequence –7.5, –9, –10.5, –12, ....?

Day and Night Kennel charges $20 per day plus a one-time food fee of $15 to board a pet. Bark Time Hotel charges $30 per day plus a one-time food fee of $5. Which system represents this real-world situation?

What substitution should be used to rewrite x8 – 3x4 + 2 = 0 as a quadratic equation?

What is the common difference in the following arithmetic sequence?

Joylin win a $50 gift card for the local movie theater. She uses the entire amount on the card to purchase tickets and snacks for her family. If Joylin spends $6 more on tickets than she does on snacks, how much does Joylin spend on tickets?