1.1E Exercises
- Page ID
- 152635
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)How to Do Homework: Start by doing all the odd numbered problems. On whatever type you're struggling with, go back and do the evens for more practice, or use them later when reviewing for exams.
- First attempt to figure out the problem BY YOURSELF. Try for a few minutes. DO NOT look at the answers.
- If you're totally lost, review the section and look at the examples and exercises for clues.
- Come back to the problem and do it without looking at anything else!
- When you're finished, open the answer and compare. If any of your answers don't match, go back and figure out what you did wrong. This is where the real learning happens!
Compute.
- \( 12 + 8 \)
- \( 3 + 4\)
- \( 6 - 5 \)
- \( 6 - 9 \)
- \( 5 + (-3) \)
- \( (-8)+4 \)
- \( 15 - (-9) \)
- \( 2 - (-1) \)
- \( 4 - (-2)\)
- \( 36 + 24 \)
- \( 25 + 45 \)
- \( 175 - 50 \)
- \( 180 - 30 \)
- \( 1200 + (-200) \)
- \( 1000 + 400\)
- \( 200 - (-150) \)
- \( 360 + 30 \)
- \( 29 + (-47) \)
- \( -34 + (-54) \)
- \( -40 - 32\)
- Answer
-
- 20
- 7
- 1
- -3
- 2
- -4
- 24
- 3
- 6
- 60
- 70
- 125
- 120
- 1000
- 1400
- 350
- 390
- -18
- -88
- -72
Compute.
- \( 3 \cdot 6 \)
- \( 12 \cdot 2 \)
- \( 5 \cdot (-3) \)
- \( (-8)(4) \)
- \( (-100) \cdot 33 \)
- \( (-9)(-9) \)
- \( \frac{12}{4} \)
- \( \frac {-28}{7} \)
- \( \frac{36}{12} \)
- \( \frac{-100}{-4} \)
- \( \frac{26}{2} \)
- \( \frac{40}{-5} \)
- \( 16 \div (-4) \)
- \( -18 \div 3 \)
- Answer
-
- 18
- 24
- -15
- -32
- -3300
- 81
- 3
- -4
- 3
- 25
- 13
- -8
- -4
- -6
Compute.
- \( 5 + 3 \cdot 2 \)
- \( \frac{6}{2} - 1 \)
- \( 4(9-3) + 7 \)
- \( 12(1+2) - 14 \)
- \( 6 - 2(3\cdot 9 - 20) \)
- \( -4( 15 - 3 \cdot 5) \)
- \( 3 \cdot \dfrac{1 - (2+3)}{2} + 5(-1) \)
- \( (-1) \left( \dfrac{2(1+8)}{3} - 4 \right) \)
- Answer
-
- 11
- 2
- 31
- 22
- -8
- 0
- -11
- -2
Translate from instructions into math notation.
- To cut out fabric with a seam allowance added, I must take the measurement 60 inches, divide it in half, and then add 2 inches. Write an expression to perform this calculation.
- I'm trying to calculate my score in the game Whack-Bat. First, I get one score-down point because I hit the cedar stick. Also, there are five twig runners, and they each get two score-downs, so we need to add that total in as well. Finally, we must divide the total number of score-downs by nine. Write an expression to perform this calculation but do not evaluate.
- Whenever I order cupcakes, they charge me a certain rate per cupcake needed, as well as a flat fee on top for the packaging. I need two dozen cupcakes, at $2 each, and the packaging fee is $5. Write an expression for the total cost of my order.
- I buy six peaches at $2 each, but I forgot my shopping bag at home, so at the register they charge me another dollar. Write an expression for the total cost of my grocery store trip.
- Answer
-
- \( \frac{60}{2} + 2 = 32 \) inches.
- \( \frac{ 1 + (5)(2)}{9} \).
- \( 2 \cdot 24 + 5 = 53 \) dollars.
- \( 6\cdot 2 + 1 = 13\) dollars.