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Magazine Problem 4
List five values that satisfy each inequality. Include negative and positive values, if possible. $$p^{2}<4$$
Problem 4
Draw a graph of \(y=x^{2}-4 x+2 .\) Use your graph to find a value for \(d\) so that the equation \(x^{2}-4 x+2=d\) has each given number of solutions. $$ \begin{array}{llll}{\text { a. two }} & {\text { b. one }} & {\text { c. none }}\end{array} $$
Problem 5
Solve each equation by backtracking. (Backtrack mentally if you can.) Check your solutions. $$ \frac{3 m-3}{6}=12 $$
Problem 5
List five values that satisfy each inequality. Include negative and positive values, if possible. $$6< x<7$$
Problem 5
Solve the equation \((x+2)(x-3)=14\) by constructing a table of values. Use integer values of \(x\) between \(-6\) and \(6 .\)
Problem 6
The sum of two numbers is 31. One of the numbers is 9 more than the other. a. Write a system of two equations relating the numbers. b. Solve the system to find the numbers.
Problem 6
Solve each equation by backtracking. (Backtrack mentally if you can.) Check your solutions. $$ 3\left(\frac{m}{6}-4\right)=12 $$
Problem 7
Economics Andre bought 11 books at a used book sale. Some cost 25\(\phi\) each; the others cost 35\(鈧琝) each. Andre spent \(\$ 3.15 .\) a. Write a system of two equations to describe this situation, and solve it by substitution. b. How many books did Andre buy for each price?
Problem 7
List five values that satisfy each inequality. Include negative and positive values, if possible. $$m-3>9$$
Problem 7
Solve each equation by doing the same thing to both sides. $$ 2 x+3=x+5 $$
