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

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