Chapter 7
Algebra 1: Concepts and Skills · 286 exercises
Problem 52
Write in slope-intercept form the equation of the line that passes through the given point and has the given slope, or that passes through the given points. \((-2,-1)\) and \((4,2)\)
3 step solution
Problem 53
List all the common factors of the pair of numbers. $$ 3,21 $$
2 step solution
Problem 53
Evaluate the expression for the given values of the variables. (Lesson 1.2 ) \(g-h^{2}\) when \(g=4\) and \(h=8\)
3 step solution
Problem 53
Add. Write the answer as a fraction or a mixed number in simplest form. $$ \frac{1}{10}+\frac{2}{3} $$
4 step solution
Problem 53
Write in slope-intercept form the equation of the line that passes through the given point and has the given slope, or that passes through the given points. \((6,5)\) and \((2,1)\)
3 step solution
Problem 54
List all the common factors of the pair of numbers. $$ 4,28 $$
2 step solution
Problem 54
Evaluate the expression for the given values of the variables. (Lesson 1.2 ) \(x^{2}+z\) when \(x=8\) and \(z=12\)
3 step solution
Problem 54
Add. Write the answer as a fraction or a mixed number in simplest form. $$ \frac{3}{4}+\frac{1}{6} $$
4 step solution
Problem 54
Write in slope-intercept form the equation of the line that passes through the given point and has the given slope, or that passes through the given points. \((4,-5)\) and \((-1,-3)\)
3 step solution
Problem 55
List all the common factors of the pair of numbers. $$ 21,27 $$
3 step solution
Problem 55
Your teacher is giving a test worth 250 points. There are 68 questions. Some questions are worth 5 points and the rest are worth 2 points. How many of each question are on the test? (Lesson 7.4)
6 step solution
Problem 55
Add. Write the answer as a fraction or a mixed number in simplest form. $$ \frac{17}{32}+\frac{1}{4} $$
4 step solution
Problem 55
Check whether each ordered pair is a solution of the inequality. \(3 x-2 y<2 ;(1,3),(2,0)\)
4 step solution
Problem 56
List all the common factors of the pair of numbers. $$ 10,50 $$
3 step solution
Problem 56
Write the fraction or mixed number as a decimal. (Skills Review pp. 763,767) $$ \frac{22}{5} $$
3 step solution
Problem 56
Add. Write the answer as a fraction or a mixed number in simplest form. $$ \frac{19}{20}+\frac{7}{8} $$
4 step solution
Problem 56
Check whether each ordered pair is a solution of the inequality. \(5 x+4 y \geq 6 ;(-2,4),(5,5)\)
4 step solution
Problem 57
List all the common factors of the pair of numbers. $$ 12,30 $$
3 step solution
Problem 57
Write the fraction or mixed number as a decimal. (Skills Review pp. 763,767) $$ \frac{37}{4} $$
3 step solution
Problem 57
Use the substitution method to solve the linear system. \(\begin{aligned}-6 x-5 y &=28 \\ x-2 y &=1 \end{aligned}\)
4 step solution
Problem 58
List all the common factors of the pair of numbers. $$ 18,96 $$
3 step solution
Problem 58
Write the fraction or mixed number as a decimal. (Skills Review pp. 763,767) $$ \frac{51}{12} $$
3 step solution
Problem 58
Use the substitution method to solve the linear system. \(m+2 n=1\) \(5 m-4 n=-23\)
4 step solution
Problem 59
List all the common factors of the pair of numbers. $$ 78,105 $$
3 step solution
Problem 59
Write the fraction or mixed number as a decimal. (Skills Review pp. 763,767) $$ \frac{56}{20} $$
2 step solution
Problem 59
Use the substitution method to solve the linear system. \(g-5 h=20\) \(4 g+3 h=34\)
4 step solution
Problem 60
List all the common factors of the pair of numbers. $$ 84,154 $$
3 step solution
Problem 60
Write the fraction or mixed number as a decimal. (Skills Review pp. 763,767) $$ 1 \frac{1}{2} $$
3 step solution
Problem 60
Decide whether the statement is true or false. Explain. \(\frac{1}{4}=\frac{3}{12}\)
3 step solution
Problem 61
Write the fraction or mixed number as a decimal. (Skills Review pp. 763,767) $$ 3 \frac{4}{5} $$
3 step solution
Problem 61
Decide whether the statement is true or false. Explain. \(\frac{5}{7}=\frac{25}{35}\)
3 step solution
Problem 62
Write the fraction or mixed number as a decimal. (Skills Review pp. 763,767) $$ 4 \frac{1}{4} $$
3 step solution
Problem 62
Decide whether the statement is true or false. Explain. \(\frac{6}{16}=\frac{3}{7}\)
4 step solution
Problem 63
Write the fraction or mixed number as a decimal. (Skills Review pp. 763,767) $$ 6 \frac{7}{8} $$
2 step solution
Problem 63
Decide whether the statement is true or false. Explain. \(\frac{2}{11}=\frac{10}{55}\)
3 step solution
Problem 65
Decide whether the statement is true or false. Explain. \(\frac{250}{350}=\frac{2}{3}\)
3 step solution