Problem 15
In \(9-26,\) write each expression as the product of two binomials. $$ x^{2}+7 x+x+7 $$
Problem 15
Use the definition of subtraction to write each subtraction as a sum. \(8-5=3\)
Problem 16
Use the definition of subtraction to write each subtraction as a sum. \(7-(-2)=9\)
Problem 18
Perform the indicated operations and write the result in simplest form. \((2 x+3)\left(x^{2}+x-5\right)\)
Problem 19
Perform the indicated operations and write the result in simplest form. \(3 a+4(2 a-3)\)
Problem 19
In \(18-23,\) write and solve an equation or an inequality to solve the problem. In an algebra class, 3 students are working on a special project and the remaining students are working in groups of five. If there are 18 students in class, how many groups of five are there?
Problem 21
In \(9-26,\) write each expression as the product of two binomials. $$ 3 x^{2}-5 x-12 $$
Problem 21
Mrs. Menendez uses computer software to record her checking account balance. Each time that she makes an entry, the amount that she enters is added to her balance. Mrs. Menendez had a balance of \(\$ 52\) in her checking account and wrote a check for \(\$ 75 .\) a. How should she enter the \(\$ 75 ?\) b. How should her new balance be recorded?
Problem 22
Perform the indicated operations and write the result in simplest form. \(a^{3}\left(a^{2}+3\right)-\left(a^{5}+3 a^{3}\right)\)
Problem 22
The height \(h,\) in feet, of a golf ball shot upward from a ground level sprint gun is described by the formula \(h=-16 t^{2}+48 t\) where \(t\) is the time in seconds. When will the ball hit the ground again?