Algebra 1 Linear Concepts Review Name_______________________________________ 1) Identify the x-intercept, y-intercept and slope from the graph: 2) Identify the x-intercept, y-intercept and slope from the table: x-int:________ x-int:_________ y-int:________ y-int:_________ slope:_________ slope:__________ 3) Identify the x- and y-intercepts from the equation: 3x – 4y = 24 4) Identify the x- and y-intercepts from the equation: 2x + 5y = 20 x-int:__________ y-int:__________ 5) Write the equation of the line with a slope of ½ and a y-intercept of 6. x-int:__________ y-int:__________ 6) Rewrite in slope-intercept form and identify the slope and y-intercept: 2x + 4y = 12 7) Write the equation of the line that is parallel to y = 3x – 1 but has a y-intercept of -2. slope:___________ y-int:___________ 8) Write the equation of the line with a slope of 2 and that passes through the point (-2, -3). 9) Write the equation of the line that passes through (-2, -1) and (2, 3). 10) Write the equation of the line that passes through (2, -3) and (-2, 1). 11) Write the equation of the line with an undefined slope and an x-intercept of 3. 12) Write the equation of the line with a slope of 0 and a y-intercept of 3. x 2 4 6 8 y -1 0 1 2 © 2015 Julie Valenzuela (Secondary Math Solutions) 13) Write the equation of the line from the table: x -2 0 2 4 y 5 6 7 8 2 14) Given y = 3x – 4, if the line is flipped over the x-axis, what would the equation of the new line be? 15) Given f(x) = 2x + 1, if the graph is shifted down 3 16) Given H(x) = ½x + 3, if the slope of the line is units, what would the equation of the new line be? multiplied by 4, what would the new equation be? 17) Rewrite in slope-intercept form and identify the slope and y-intercept: 2x – 6y = 18 slope:___________ y-int:___________ 19) Write the equation of the line graphed below: 21) Graph 2x + 3y = 12 using the intercepts. 18) Given y = x, write the equation of a new line that would be shifted up 2 units and steeper by a factor of 4. 20) Write the equation of the line in slopeintercept form from y + 1 = 2(x + 3). 22) Graph 3x – 2y = 12 using the intercepts. 1) Identify the x-intercept, y-intercept and slope from the graph: 2) Identify the x-intercept, y-intercept and slope from the table: x-int:___(2, 0)_____ x-int:___(4, 0)____ y-int:___(0, 1)_____ y-int:__(0, -2)____ slope:___- ½ ______ slope:___ ½ _______ 3) Identify the x- and y-intercepts from the equation: 3x – 4y = 24 4) Identify the x- and y-intercepts from the equation: 2x + 5y = 20 x-int:__(8, 0)________ y-int:___(0, -6)_______ 5) Write the equation of the line with a slope of ½ and a y-intercept of 6. x-int:___(10, 0)_______ y-int:__(0, 4)________ 6) Rewrite in slope-intercept form and identify the slope and y-intercept: 2x + 4y = 12 y = ½x + 6 7) Write the equation of the line that is parallel to y = 3x – 1 but has a y-intercept of -2. y = 3x – 2 9) Write the equation of the line that passes through (-2, -1) and (2, 3). y – 3 = 1(x – 2) or y=x+1 11) Write the equation of the line with an undefined slope and an x-intercept of 3. x=3 x 2 4 6 8 y -1 0 1 2 4y = 12 – 2x y = 3 – ½x slope:_____ ½______ y-int:_____(0, 3)______ 8) Write the equation of the line with a slope of 2 and that passes through the point (-2, -3). y + 3 = 2(x + 2) or y = 2x + 1 10) Write the equation of the line that passes through (2, -3) and (-2, 1). y – 1= -1(x + 2) or y = -1x – 1 12) Write the equation of the line with a slope of 0 and a y-intercept of 3. y=3 13) Write the equation of the line from the table: x -2 0 2 4 y 5 6 7 8 y = ½x + 6 2 14) Given y = 3x – 4, if the line is flipped over the x-axis, what would the equation of the new line be? 2 y = – -3x – 4 15) Given f(x) = 2x + 1, if the graph is shifted down 3 16) Given H(x) = ½x + 3, if the slope of the line is units, what would the equation of the new line be? multiplied by 4, what would the new equation be? f(x) = 2x – 2 17) Rewrite in slope-intercept form and identify the slope and y-intercept: 2x – 6y = 18 -6y = 18 – 2x y = -3 + 1/3x slope:____ 1/3_______ y-int:___-3________ 19) Write the equation of the line graphed below: y = 2x + 2 21) Graph 2x + 3y = 12 using the intercepts. H(x) = 2x + 3 18) Given y = x, write the equation of a new line that would be shifted up 2 units and steeper by a factor of 4. y = 4x + 2 20) Write the equation of the line in slopeintercept form from y + 1 = 2(x + 3). y = 2x + 5 22) Graph 3x – 2y = 12 using the intercepts. © 2015 Julie Valenzuela (Secondary Math Solutions) Thank you for your purchase! I hope you enjoy this resource and it works well in your classroom! If so, please go to “My Purchases” and leave positive feedback. TeachersPayTeachers gives credit for leaving feedback that can be used at any TpT store. If you have a suggestion or a question about this resource, please let me know. Be sure to follow my store to receive up-to-date notifications on all SALES and NEW resources! Have you tried a Unit Bundle yet? Save time and money! All unit bundles include notes, activities, practice assignments, quizzes, a project, a lesson plan and a test – all the work is done for you in these bundles! 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