Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Put your name, the date, and the period on your paper. Students will review Semester 1 Algebra objectives and prepare for Re-Test of semester benchmark exam. 12x – 18 + 5x = 15x – 15 – 7 17x – 18 = 15x – 22 – 15x – 15x 2x – 18 = – 22 + 18 + 18 2x = – 4 2 2 x= –2 RISE RUN RUN RISE 2 5 DOWN NEGATIVE! Each edge is 2.5 cm. The “base” (bottom) is a square. Area = length • width 2.5 • 2.5 = 6.25 cm 2 Perimeter means add all edges of the bottom… or multiply times 4. P = 2.5 • 4 = 10 cm V= B•h “area of the base” times height V = length • width • height V = 2.5 • 2.5 • 2.5 15.625 cm 3 A cube has 6 faces… all squares! 2.5 • 2.5 • 6 = 37.5 cm 2 List all the sides: Area = length • width FRONT = 5 • 10 = 50 BACK = same = 50 LEFT = 4 • 5 = 20 RIGHT = same = 20 TOP = 4 • 10 = 40 BOTTOM = same = 40 ADD ALL SIDES! 220 in 2 w 4w + 20 Perimeter means… 4w + 4w + w + w + 20 + 20 ADD all sides! length = 4w + 20 4(4) + 20 16 + 20 length = 36 ft. 10w + 40 = P 10w + 40 = 80 – 40 – 40 10w = 40 10 10 w = 4 + 0.25 + 0.25 0.45x = 1.80 0.45 0.45 x=4 Which number(s) are “greater than” 20??? 4 8 x 8 5 –8 –8 5 4 – 16 When you multiply or divide by a negative number… REVERSE the Symbol! x > 20 5 4 To get rid of the fraction in front of x, multiply by the reciprocal on BOTH SIDES. Re-write the inequality with the letter first and the number last! x – 15 REVERSE THE SYMBOL!!! The symbol is NOT underlined… Draw an open dot!!! The symbol > looks like an arrow pointing to the right… Shade to the right!!! +7 +7 5n > – 15 5 5 n >–3 – 9 < 2x – 7 +7 +7 – 2 < 2x 2 2 –1 < x Re-write with the x first. x > –1 Circle only numbers “greater than” -1. (– 4, 3 ) 55 + 35d = Cost 55 + 35d = f(d) Cost = 55 + 35(5) Cost = $230 300 = 55 + 35d –55 –55 245 = 35d 245 = 35d 35 35 7=d 7 days Positive – (right end goes up) Undefined (vertical line) ZERO – (horizontal line) Negative – (right end goes down) y2 y1 m x2 x1 9 – 12 – 5 – –10 –3 –5 + 10 –3 5 y y1 m( x x1 ) y – 12 = y – 12 = + 12 –3 ( x – –10) 5 –3 x–6 5 + 12 y= –3x+6 5 OR 3 f ( x) x6 5 Note: If you noticed that the ordered pair ( 0 , 6 ) in the table is the y-intercept, you would not need to do all this. USE THE CALCULATOR! Enter the data in Lists 1 & 2 Select CALC Select REG (regression) y = 2560.90x + 201.77 Select X (one power) slope rise 3 run 5 UP 3 LEFT 5 Walls are on the “side” only… Lateral Surface Area The carpet goes on the bottom or base of the room… The floor is a rectangle… AREA (of the base) 4x + x + x 2y + 5y + 8y + 6 – 5 6x + 15y 6x + 15y + 1 +1 n – – 7 = – 32 n + 7 = – 32 –7 –7 n = – 39 12 – 6x + 3y 5x + 3y 12 – 6x + 3y –6x – 6x + 5x + 5x – 2x + 3y + 3y + 3y + 3y + 12y + 12 + 12 + 24 – 2x + 12y + 24 These 3 answers could be written in any order… – 3x Divide every term by – 5 – 3x To get y by itself the positive 3x and the – 5 need to be moved to the other side of the equation. – 5y = – 3x + 20 –5 –5 –5 3 x –4 y= 5 – 3x & 20 are NOT like terms 4p + 20 + 8p > 3p – 3p – 15 + 5p 12p + 20 > 5p – 15 – 5p – 5p 7p + 20 > – 15 – 20 – 20 7p > – 35 7 7 p > –5 let s = songs 79.83 + 0.27s = 180 – 79.83 – 79.83 0.27s = 100.17 .27 .27 s = 371 songs The symbol is not underlined… DOTTED LINE _ _ _ _ _ _ _ Dots in the shaded part only! Dots on the dotted line are… NOT Solutions! m A 3 3 B 4 4 To find the y-intercept let x be 0. Look at the symbol… > means shade above. Use the slope to draw more points! Divide by – 4 … REVERSE THE SYMBOL!!! – 4y < 8 –4 –4 y –2 y-intercept (b) b=–7+9 b=+2 The graph is translated… 9 spaces UP! The new y-intercept is… (0,2) The slope… stays the same! x1 , y1 x2 , y2 y2 y1 m x2 x1 – 6 0 – 6 = — 3 = ——— = — 4–0 4 2 y = mx + b 3 y= —x –6 2 y y1 m( x x1 ) (x + 14) x–8